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# ProbStats MATH 1530

ETSU

GPA 3.5

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This 2 page Class Notes was uploaded by Ms. Ismael Spinka on Sunday October 11, 2015. The Class Notes belongs to MATH 1530 at East Tennessee State University taught by Robert Gardner in Fall. Since its upload, it has received 74 views. For similar materials see /class/221399/math-1530-east-tennessee-state-university in Mathematics (M) at East Tennessee State University.

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Date Created: 10/11/15

Basic Statistics for the Number of Slaps per Film in the Three Stooges Work Probability and Statistics MATH 1530 Worksheet Gardner and Davidson Spring 2009 Name The purpose of this worksheet is to further your knowledge of Minitab explore the shape of a distribution and introduce applications of the normal distribution You are given less speci c instructions on this worksheet than on the rst worksheet If you have trouble with the Minitab manipulations you should refer to the rst worksheet and mimic the commands given there Answer all questions which appear in red in complete sentences 7 you are trying to convince me that you understand the material and that you can communicate your understanding clearly Based on data from The Three Stooges an Illustrated History by Michael Fleming NY Broadway Books 1999 we can calculate the average number of slaps per lm for each production year of The Three Stooges short lms 1934 to 1958 This yields the data in the table below We saw in class that there were two outliers in the data set 335 slaps lm in 1934 and 319 slaps lm in 1947 These outliers have been removed to produce the data set Use Minitab to nd the venumber summary for this set of 23 data points Enter the data in a spreadsheet click on the Stat tab select Basic Statistics and then Display Descriptive Statistics From the Session window copy and past the results of this computation below What is the minimum What is the rst quartile What is the median What is the third quartile What is the maximum Does the venumber summary reveal any properties of the distribution of this data Use Minitab to create a boxplot for the data set If you have problems nding your way around in Mintab look again at the rst worksheet and the details on making a pie chart and a bar chart Save the boxplot as a graphics le Insert the boxplot here What observations do you have about the boxplot Using the mean and standard deviation computed above assume the number of slaps per lm in the Three Stooges short lms is normally distributed What mean and standard deviation did Minitab yield The Fleming book reports that there are 4 slaps in the public domain lm Disorder in the Court the 15Lh short 1936 Assume the normal distribution mentioned above and use Minitab to calculate the percentage of lms with less slaps than Disorder in the Court In Minitab click on the Gale tab select Probability Distributions and Normal Choose the Cumulative probability option and enter the mean and standard deviation from above Select Input Constant and enter 4 Click OK Copy the output from the Session window and paste it here Based on this output what percentage of the lms have less slaps than Disorder in the Court The Three Stooges made 190 short lms How many of their lms do you expect have fewer slaps than Disorder in the Court If a Stooges lm is chosen at random what is the probability that it has more than 4 slaps For the x value x 4 what is the z score Compute this with a calculator instead of with Minitab Use Minitab to answer this question 75 of The Three Stooges lms have less than how many slaps per lm Follow the steps mentioned above but instead of the Cumulative probability option choose the Inverse cumulative probability option Insert the Minitab output from the Session window here EXplicitly what is the number of slaps per lm below which 75 of the lms fall Use what you have learned to answer the following question What is the number of slaps per lm above which 10 ofthe Stooges lms fall

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