MATH 2760 - Lab #2 Tests for Normality - REVISED(1)-1-1-1-1

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Name(s): ____________________________ Date: _____________________ Lab #2 Tests for Normality For many of the examples and exercises, it is assumed that populations from which a random sample is selected are normally distributed. However, after a random sample is selected from a population, is it reasonable to think that the population distribution is normal? How can we assessing normality? Objectives: At the end of this lab, you will be able to: Identify when and why tests of normality are required. Construct a normal probability plot (also known as normal Q-Q plot) using SPSS Conduct tests of normality using SPSS Interpret the results in the context of the problem Identify implications when the assumption of normality for population distributions is not valid. Directions: Refer to the Excel file Lab #2 and Cereal dataset file (located in the first week folder) to complete the following tasks. All results and explanations need to be reported within this Word document after each question. Your results should be formatted and edited. Make sure to use complete sentences when explaining your results. You need to submit a hard copy of your lab. Exercise 1. For the cereal dataset, identify one variable that is approximately normally distributed. A. Construct a histogram for at least two variables and describe the shape of the distribution. B. Construct at least two box-and-whisker plots. Compares to your box plot to your histogram in part a. C. Find the skewness and kurtosis of the two variables. Do your results support your observations in part a and b. D. Construct a normal probability plot (also known as normal Q-Q plot) and perform tests of normality (K-S test or S-W test) using SPSS. E. Determine whether it is reasonable to think that the population from which the data come is normally distributed. Explain. Exercise 2. The commuting times (in minutes) of randomly selected students at LIM College are recorded in the Excel file Lab #2 (Exercise 2). A. Construct a histogram for commuting times and describe the shape of the distribution. B. Construct a box-and-whisker plot. Compares to your box plot to your histogram in part a. C. Find the skewness and kurtosis of commuting times. Does your results support your observation in part a and b. D. Construct a normal probability plot (also known as normal Q-Q plot) and perform tests of normality (K-S test or S-W test) using SPSS. E. Determine whether it is reasonable to think that the communing times for all students at LIM College are normally distributed. Explain.
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