Practice Problems for Z-Scores

One standard type of problem from an introductory statistics course is to calculate the z-score of a particular value.  This is a very basic calculation, but is one that is quite important.  The reason for this is that it allows us to wade through the infinite number of normal distributions.  These normal distributions can have any mean or any positive standard deviation. The z-score formula starts with this infinite number of distributions and lets us only work with the standard normal distribution.  Instead of working with a different normal distribution for each application that we encounter, we only need to work with one special normal distribution.  The standard normal distribution is this well-studied distribution.  Ã‚   Explanation of the Process We assume that we are working in a setting in which our data are normally distributed.  We also assume that we are given the mean and standard deviation of the normal distribution that we are working with.  By using the z-score formula: z   (x - ÃŽ ¼) / ÏÆ' we can convert any distribution to the standard normal distribution.  Here the Greek letter ÃŽ ¼ the mean and ÏÆ' is the standard deviation.   The standard normal distribution is a special normal distribution.  It has a mean of 0 and its standard deviation is equal to 1. Z-Score Problems All of the following problems use the z-score formula.  All of these practice problems involve finding a z-score from the information provided.  See if you can figure out how to use this formula. Scores on a history test have average of 80 with standard deviation of 6. What is the z-score for a student who earned a 75 on the test?The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces with standard deviation of .1 ounce. What is the z-score corresponding to a weight of 8.17 ounces?Books in the library are found to have average length of 350 pages with standard deviation of 100 pages. What is the z-score corresponding to a book of length 80 pages?The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the z-score for a temperature of 68 degrees?A group of friends compares what they received while trick or treating. They find that the average number of pieces of candy received is 43, with standard deviation of 2. What is the z-score corresponding to 20 pieces of candy?The mean growth of the thickness of trees in a forest is found to be .5 cm/year with a standard deviation of .1cm/year. What is the z-score corresponding to 1 cm/year?A particular leg bone for dinosaur fossils has a mean length of 5 feet with standard deviation of 3 inches. What is the z-score that corresponds to a length of 62 inches? Once you have worked out these problems, be sure to check your work.  Or maybe if you are stuck on what to do.  Solutions with some explanations are located here.

Film Analysis Of The Shawshank Redemption - 1696 Words

Introduction: Shawshank Redemption is directed by Frank Darabot, published in 1995 Australia. The film focusses on the theme of forgiveness and escape. It follows an unusual friendship between Andy and Red set in a 1930’s American prison. The main focal scenes explored include: Brooks suicide and Tommy’s death. The film is to be narrated by Morgen Freeman (Red), it shows the 20 year period of Andy’s imprisonment. As a part of the analysis emphases on the scenes as it introduces the audience to the Shawshank prison and Andy’s first moments when attends to the prison to the very moment when he escapes to Mexico. Theme 1: Brooks Suicide Describe the scene: This scene shows Brooks Hatlen, an older inmate, who has served his 50 year†¦show more content†¦Ã¢â‚¬Å"Some birds aren’t to be caged. Their feathers are too bright† Film Techniques: The first key moment of this scene is where we are shown a wide shot of Brooks sitting alone feeding the pigoens. The wide shot reveled that he was alone and isolated. There was then a close up on his face and we could see his expression and the way he hung his head downward. The way he was holding his body gave the audience the feeling , that he might have been dealing with sadness and depression from the start. A particularly interesting scene comes at the moment of Brook’s suicide, the movement is used at first makes the audience unsure what is going to happen to Brooks, there is a close up of his shoes standing on the stool and for a moment, the audience are unsure of what is going to commence next. His statement says â€Å"I have decided not to stay. I doubt they’ll kick up any fuss. Not for an old crock like me† this indicate the meaning of how he is going ‘away’, but the darkness and music of the scene says otherwise. There is then a close-up of him writing â€Å"brooks was here’ on the wall, which briefly tranquillize the audience when seen that he’s simply carving the message. There is a camera angle taken from behind bars in theShow MoreRelatedFilm Analysis: Shawshank Redemption766 Words   |  3 PagesIn the movie, Shawshank Redemption, the narrator of the movie named Red recounts how he planned and carried out his wife’s murder by disabling her brakes, which accidentally killed a neighbor and child. He earned a life sentence at the Shawshank Prison. Red also remembers the arrival of an inmate named Andy Dufresne, Andy was sent to Shawshank for life for the cold-blooded murder of his wife, Linda, and her lover. Despite the evidence placing him at the scene of the crime on the night of the murdersRead MoreShawshank Redemption Film Analysis834 Words   |  4 Pagessystem, the Shawshank Redemption is like no other. I first watched the film many years ago on television an d since have seen it numerous times on platforms such as DVD and Netflix. The key stars in the production, are actors Tim Robbins and Morgan Freeman. Other standouts that who are featured in supporting roles included actors Bob Gunton and Clancy Brown. The film was directed by Frank Darabont who is known for criminal justice films such as the Green Mile. The Shawshank Redemption was firstRead MoreFilm Analysis Of The Film The Shawshank Redemption970 Words   |  4 PagesLiam The 1994 film â€Å"The Shawshank Redemption† directed by Frank Darabont is about a banker named Andy Dufresne who is falsely accused and sentenced to life in prison at Shawshank for the murder of his wife and her lover. This is where he meets Red, a man who is also serving a life sentence, has been in Shawshank for quite some time and is known as â€Å"a man who knows how to get things†. The meeting of these two characters produced many significant moments and scenes, but there is one that I foundRead MoreShawshank Redemption Film Techniques Analysis Essay1042 Words   |  5 Pages In the film The Shawshank Redemption, directed by Frank Darabont the purpose of the beginning sequence is to introduce us to Andy Dufresne and his situation; being accused of the murder of his wife and her lover. This sequence uses lighting, music, sound and camera work to show us Andy’s struggle. A production aspect that shows us this idea is lighting. Low Key Lighting is used in the scene when we see Andy in his car drinking bourbon and loading his hand gun. Low Key Lighting is when the lightingRead MoreAn Analysis of Stephen Kings Novella Rita Hayworth and the Film The Shawshank Redemption914 Words   |  4 PagesShawshank Redemption Courage can be found and proved in any setting, even a prison. 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In this paper, it will be mentioned ShwshankRead MoreAnalysis Of The Shawshank Redemption By Frank Darabont1116 Words   |  5 Pages 2015 Evaluative Analysis: The Shawshank Redemption When it comes to movies, I am not exactly what you could consider well-versed. Had it not been for several close friends of mine, I would have never even seen blockbuster hits such as Harry Potter, The Lord of the Rings, or Back to the Future. The reason for this is not because I dislike watching movies, but rather due to the restrictive nature of my parents. Thus, I have not had the privilege to enjoy The Shawshank Redemption, Frank Darabont’sRead MoreRita Hayworth And The Shawshank Redemption Analysis1362 Words   |  6 PagesClose Comparative Analysis Of Stephen King’s Rita Hayworth and the Shawshank Redemption and Frank Darabont’s The Shawshank Redemption When comparing the ending of Stephen King’s novella, Rita Hayworth and the Shawshank Redemption with the ending of the 1994 film adaptation by Frank Darabont, The Shawshank Redemption, there are key differences. These include additions, removals and slight changes in the narrative which arguably make the storyline better suited to the completely different mediumRead MoreAnalyzing the Shawshank Redemption3132 Words   |  13 PagesAnalyzing Shawshank Redemption Crystal Gayle Frapp January 31, 2014 Analyzing Shawshank Redemption The film that will be analyzed and discussed is the Shawshank Redemption, which was Director by Frank Darabont and is a Story by Stephen King. It is based in 1946, a man named Andy Dufresne (Tim Robbins) is convicted of killing his wife and her lover, and him going to prison and dealing with the struggles of prison life as a truly innocent man. . â€Å"Hes sentenced to a life term at the Shawshank StateRead MoreThe Shawshank Redemption3009 Words   |  13 PagesThe Shawshank Redemption ENG 225 Sarah Carson May 7, 2012 The Shawshank Redemption The Shawshank Redemption (1994) was a remarkable motion picture inspired by Stephen King and Directed by Frank Darabont. It was not a big budget movie with a lot of special effects rather it was a story about two convicts Ellis Boyd Red Redding (Morgan Freeman), Andy Dufresne (Tim Robbins), and Samuel Norton (Bob Gunton), the self-righteous, Bible-carrying Warden (Filmsite, 2012) that vowed they’d never

One word that has changed the world Free Essays

Do you love apples? Well, Ido love apples! However, it is not because it’s nutritious, instead, it haschanged world. Why? You may ask, or you may come to realize that Job’s productsof apple brand have indeed brought us dramatic changes. You’re partially right! Actually, in the longprocess of history, there are three apples that have exerted significant impacton us. We will write a custom essay sample on One word that has changed the world or any similar topic only for you Order Now One was bitten by Eva, one fell on Newton’s head, and another on is inthe hand of Steven Jobs. The three great apples have shaped a brand-new worldwith a fire-new outlook. The three great apples have signified a usion of curiosity,intelligence, innovation and technology. The three great apples have endowed uswith a window to look through an unknown world, to explore, to innovate, toprogress and to advance. Eva’s apple is a metaphor of human’s curiosity. Curiosity is a child-like sense of wonder, making usquestion things that others do not even notice. Einstein once put it â€Å"I’mneither especially clever nor especially gifted, I’m only very, very curious. † Hewent on to say that, â€Å"the important thing is not to stop questioning. Withthis regard, he proposed the relativity theory, a milestone in hysics, aleapfrog of human development. Stories like this happen all the time. Becauseof curiosity, we have been eager to explore the outer space, is there anyliving creature in outer space, is there any possibility to live on otherplanets so that helping release huge burden of congestion, climate variationand other knot ty issues. Curiosity drives us to the Journey of exploration ofthis mysterious and unfathomable world. Curiosity propels us to fgure out allthe truths and facts. Newton’s apple is amanifestation of human’s intelligence. We can speak, we can create, we can makea ifference. All these features have distinguished us as a unique creature, Justa saying goes† there’s nothing as precious as humans in the world†. Thanks tointelligence, our ancient ancestors have created a brilliant civilization thatinspired the world for centuries. Due to their intelligence and endeavor, wehave transferred from a primitive society to a modern one. Intelligence is thesource of our development. Apple intelligence leads us to advance. Jobs’ apple is a symbol of dailyupgrading technology. In retrospect, we’ll fgure out that we have been livingin a orld tightly connected with technology, particularly, after the 1990s. Becauseof technology, our life now is strikingly different. With TV, we are immersedin extensive entertainment and relaxation, with telephones, we are delighted inconvenient and efficient contact with families and friends, with MP3, we areenchanted in melodic music at anytime anywhere, with internet, we are involvedin a wide range of activities—chatting online, sending mails, shopping,getting information and so forth. Every day, we’re marveled at fabulous giftsfavored by technology. Apple technology akes us to innovation andtransformation. Whether you’re holding anipod 4 or you’re holding 4 packs of apples. World is waiting for us to make a differenceand the three great apples have spured the most unparalleled and tremendouschanges for the world. The great apples, namely, curiosity, intelligence andtechnology are the source of strength of enterprising, pioneering andprogressing. Apple, is more than anapple. It is a word that has changed the world and it’s my solid convictionthat another apple is to change the world! One word that has changed the world By gluttonysJt How to cite One word that has changed the world, Papers

Managing Personal Effectiveness Samples †MyAssignmenthelp.com

Question: Discuss about the Managing Personal Effectiveness. Answer: Introduction Managing personal Effectiveness plays a huge role towards any individuals performance since it ensures the individual remain productive and focused while working at all times. This makes it important for businesses, organizations or individuals to consider managing programs which help to promote personal Effectiveness. In addition to the programs, its also important to have a wide verity of activities which offer flexibility to individuals whole working thus allowing them to perform research, study or access modes of entertainment which can be used to help them refresh their mind and boost personal effectiveness(Srivastava, 2005). Its the responsibility of the organization and the individual to be able to identify and highlight these points this makes it important to understand the topic and consider personal needs which have a direct effect on the individual's performance. Some important points linked to promoting personal effectiveness include: Monitoring strategies which maintain motivation among staff members It is critical for themanagement and organization to invest some time towards understanding individual staff member needs and preferences. Monitoring plays a huge role towards staff performance but at the same time its important to manage monitoring strategies carefully to avoid determine employees. This is important since the staff should not feel overburdened and helps maintain their focus. This will differ from every individual thus making it important to group the motivational activities and use them in programs which will help the businesses or organization boost individuals morale and personal effectiveness(Banks, 1997). This can range from entertainment to knowledge building, motivational videos or music which can be relaxed for the staff to access if it helps promote their effectiveness. Progress Tracking Building Knowledge and Improving opportunities It is important to track individual employee performance but at the same time also offer improvements opportunities. This helps demonstrates an individuals performance and build their skills thus helping the organisations monitor employee progress. Tracking progress plays a huge role towards managing employee performance and focus towards their responsibilities and demonstrates their wiliness to build the brand. (Greene, 2015). Its also important for the individuals knowledge to be acknowledged and their concentration towards the system highlighted as this helps distract the individuals contribution towards the system. Security is another important aspect every individual developed automatically by building their knowledge through learning. With a wider understanding of different fields, the individuals become more secure thus allowing them to focus more on their roles and responsibilities and how they can improve them. Employee participation and sharing knowledge Once knowledge has been acquired its important for the individuals to also be encouraged to share their knowledge and experiences with others. Sharing knowledge demonstrates an individuals participation towards the process and organisations growth. This is an important aspect linked to personal effectiveness as it demonstrates an individuals wiliness to understand a process and share information and ways of performing the task more efficiently with other(Gwin, 2003). With colleagues turning to the individual to perform the task the individuals are automatically encouraged to master their skill so as to perfect its delivery and educate colleagues of individuals who may require assistance. This delivers purpose to the individual hard work making it important to acknowledge and encourage individuals to share knowledge and experiences they may have acquired during their work history. Remain organized and follow a routine and to meet milestones For an individual to maintain the highest levels of effeminacy it is necessary for them to develop and follow a routine on a daily basis. This applies to both their personal and professional lives where they require mapping their daily responsibilities and how they intend on performing each. This delivers a daily timetable which makes efficiency more manageable thus allowing the individual perform more consistently on a daily basis(Stark, 2015). Its important to also build a close relationship with a senior member of the management as this encourages the individual to follow in the manager's footsteps which is an important aspect linked to building constantly on a daily basis. Individuals who lack a daily routine will fail to meet their goals and objectives which make it important to first develop a follow a routine on a daily basis which will automatically have an effect on the individual's performance and ensures organisation milestones have been met. Conclusion Personal efficiency can be encouraged by following efficiency programs but the final effort must be put in by the individual who will have to contribute towards the boosting their efficiency individually. It is their responsibility to inform themanagement on approaches which can be adopted to boost efficiency and performance but the responsibility of maintaining efficiency returns on the individual who needs to demonstrate their ability to maintain high efficiency at a consistent pace on the daily basis. Bibliography Banks, L., 1997. Motivation in the Workplace: Inspiring Your Employees. American Media Publishing. Greene, M.P., 2015. Creative Mentorship and Career-Building Strategies: How to Build Your Virtual Personal Board of Directors. Oxford University Press. Gwin, C., 2003. Sharing Knowledge: Innovations and Remaining Challenges. World Bank Publications. Srivastava, R.K., 2005. Managing Work: Concepts Tasks TQM Way. New Delhi: Galgotia Publications. Stark, J., 2015. Your Work Routine: Habits for Organized Way of Working. Can Akdeniz.

The Sentences Book of James Essays - Sexual Fidelity, Adultery

The Sentences Book of James What I believe the writers are saying, when stating Love they neighbor is having respect for other people and having regard for his or her needs and desires as I have the same esteem for my personal wants and desires. James believes favoritism, not Gods characteristic, as we know the law of God is perfect, excellent and royal. What makes the law royal is because God is the author. We do not have to break all of the laws of God; if we break only law we have violated and disrespected God. As a Christian it is our duty and most importantly to keep Gods law. The laws of God are to be obeyed and followed. Obedience is vital to our Christian walk with Christ and our faith in God gives the ability to do what God says. When one commits adultery God holds that person accountable. If the adulterer breaks his or her promise they have become deceivers, liars and have lied to God. However, and adulterer can be forgiven of that sin, now as for the adulterers and homosexuals at the Church of Corinth (1 Corinthians 6:9-11). Therefore, these are considered serious consequence of human sin, and abominable crime of committing adultery. Jesus is our intercessor, in the New Testament Jesus says, Go and sin no more. These words of inspiration give the sinner a second chance and new beginning.

Agar Diffusion Investigation Essays

Agar Diffusion Investigation Essays Agar Diffusion Investigation Essay Agar Diffusion Investigation Essay Having considered the phenomena of diffusion and osmosis I have been told to do a piece of coursework to investigate the rate of diffusion when using different concentrations of acid. I have been told to use Agar. Agar is extracted from sea weed and after dissolving in hot water it cools to form a solid jelly although 99% of this is water. The agar is an inert medium that I am going to use to investigate the rate of diffusion. The agar I will be given has been made alkaline by adding a small amount of NaOH and has the indicator (phenolphthalein) incorporated which is pink in alkaline conditions. As the H+ ions from the acid diffuse in the indicator within the agar will become colourless. The acid I will be given will be 1M Hydrochloric Acid (HCl). I will be given one Petri dish of pre-prepared pink agar poured to an approximate depth of 1cm. Safety It is important to remember safety whenever working in a laboratory particularly when handling corrosive solutions such as acids and bases. To this extent it is essential to always where safety goggles when doing any experiment. In order to ensure the safety of myself, and my friends I am going to take the following safety precautions during my experiment: * Ensure safety goggles are worn at all times during the experiment. * Always ensure any beakers containing HCl are kept in away from the edge of the table. * Always wash hands after handling corrosive materials. * Ensure a good supply of paper towels is available in the event of a spillage and be sure to wipe up any spillages immediately before they escalate. Preliminary Variables I am going to investigate what variables I am going to change during my preliminary investigation. During my preliminary investigation I am going to investigate how both concentration and volume of HCl effect the time taken to turn the phenolphthalein colourless. I am also going to investigate what amount of Agar jelly solution should be used. I am going to use a cork borer and a straw to cut pieces of the agar jelly solution and compare results between the two. Preliminary Investigation Method To being with obtain one test tube rack and one stopwatch. Now take six test tubes and use the cork borer and a scalpel (if necessary) to lift three pieces of agar jelly solution. Drop the three cork borer size agar solution pieces into the first three test tubes. Take a straw and use it to cut a further three pieces of agar jelly solution using the same method as before. Drop the three straw size agar solution pieces into the final three test tubes. Now add 5ml 1M, 0.5M and 0.2M HCl to the test tubes one by one and start the stopwatch; adding the different concentrations of HCl to one of the different sized agar solutions each: Wait until the agar has turned completely colourless in the first test tube then record the time taken and repeat the process for the next test tube. Once all of the test tubes have been timed, dispose of the HCl and agar jelly in the appropriate way and clean out all 6 test tubes thoroughly. Now return the six test tubes to the test tube rack and repeat the experiment only this time varying volume of HCl used instead. Once all six test tubes have their appropriate agar jelly solution added, add 15ml, 10ml and 5ml of 0.5M HCl to the test tubes one by one and start the stop watch, adding the different volumes of HCl to one of the different sized agar solutions each: As before wait until the agar has turned completely colourless in the first test tube then record the time taken and repeat the process for the next test tube.

Algorithm design as it relates to time complexity problems like Research Paper

Algorithm design as it relates to time complexity problems like reducing fractions without using the euclidean algorithm for GCD - Research Paper Example The main difference of Algorithms both circuit implementation, testing and results expected. Modern processors that perform calculations need Algorithm design for present and future programmers. The paper also explains some key terms as used in the text in relation to computer design. It covers the need to maintain optimal code for future programmers due to complexity of testing circuits. Key words: Euclid’s Algorithm, Stein’s Algorithm, Built-In-Self-Test and Linear Feedback Shift Register. Algorithm Design Review of steps involved in solving time complexity problems 1. Euclidean algorithm Euclidean algorithm is an ancient efficient method used in computing the greatest common divisor (GCD) of two integers. The simplest Euclid’s algorithm starts with two positive integers. This then form a new pair that consists of the smaller number and the difference between the smaller and larger numbers. The process repeats until the numbers are equal. The resultant number t hen is the greatest common divisor of the original two integers. Euclid algorithm is described as GCD(a, 0) = a GCD(a, b) = GCD(b, a mod b) If and b>0, then GCD(a, a) = a GCD(a, b) = GCD(a - b, b) ; if b < a GCD(a, b) = GCD(a, b - a) ; if a < b For example, GCD(20, 0) is 20. Similarly, GCD(20, 10) is same as GCD((20-10), 10) = GCD(10, 10) = 10. 2. Stein’s Algorithm This algorithm is also a binary GCD algorithm. It computes the greatest common divisor of two nonnegative integers (Purdy, 1983). It is more efficient over the ancient Euclidean algorithm because it replaces multiplication and divisions with shifts, which are cheaper when operating on the binary representation used by modern computers. This is critical on embedded platforms available that do not have direct processor support for calculations of division. Stein’s algorithm is described as GCD(0, v) = v GCD(u, 0) = u GCD(0, 0) = 0 When v and u are even, then GCD(u, v) = 2.GCD(u/2, v/2) For an even u and an odd v, then GCD(u, v) = GCD(u/2 v) Similarly, if v is even and u is odd, then GCD(u, v) = GCD(u, v/2) In case, v and u are both odd, and if u ? v, then GCD(u, v) = GCD((u – v)/2, v) In case, both are odd, and u < v, then GCD(u, v) = GCD((v – u)/2, u) When initially solving a problem, how might one detect that a solution needs extra attention with respect to an efficient algorithm vs standard solutions where a highly efficient solution may be indistinguishable from an inefficient one? Identification of a problem is the first step towards solving a given mathematical equation. It involves examining for complexity to be able to simplify before any other complex operations take place. Time requirements spell complexity and attention are hence worth considering. Built-In Self Test (BIST) Modern computers have a built in IC for testing. This technique integrates the functionality of an automated test system within a chip. It is a Design where testing is accomplished by the help of built in hardware features. BIST has test controller, response verification and test generator. Test generator is responsible for generating test address sequence that compares the output from memory with the expected correct data. The BIST controller can be either hardwired logic, microcode controller or based on processor (Rekha Devi, 2011). Specifically discuss the potential tradeoff between an easy to understand inefficient solution vs a difficult to follow efficient solution. By employing Linear Feedback Shift