1a. What are the values for mean, mode, median, standard deviation, and coefficient of variation? Mean = 38.075 Mode =38 Median =34.5 Standard Deviation = 38.075 Coefficient of Variation =1 1b. Based on the values for mean, mode, and median, what statement can be made related to skewness of the distribution? Standard deviation and Coefficient of variation are equal 1c. What is the interpretation of the value for coefficient of variation? (i.e. explain what it does it mean if COV=1% versus COV=100%) Normally, you use coefficient of variation for variable of different units of measure or very different scales. ..Coefficient of variation = 1, It COV 1% 1d. Is the data for problem 3.40 mesokurtic, leptokurtic, or platylurtic? Justify your answer using descriptive statistics. The data for problem 3.49 mesokurtic is not leptokurtic or playlurtic. Because mean and coefficient of variation are same. 2 Answer 2a. Conduct the appropriate directional test of hypothesis using a significance level of 5%, to test whether the mean planting time exceeds 2 hours. Make sure your computer report has the answers to the following steps: State the null and alternative hypothesis. Null hypothesis =2, Alternative hypothesis#2 What is (are) the critical value(s) of sample test statistics based on problem specified significance level? Critical value =0.532 What is the calculated sample statistic based on sample data? (the computer generated output should provide this information) Sample statistic =0.348 Reject or don't reject null hypothesis? Do not reject the null hypothesis What statement should be made about the mean planting times based on this test of hypothesis? P-Value is greater then test the hypothesis.. So do not reject the null hypothesis 2b. Using the confidence interval approach, calculate a 95% confidence interval for the data in problem #2. 14.546 to 19.446 3. Use the data on page 367, problem #10.8, of the course text book to determine whether there is a difference in cost of gallon of milk in Seattle and Atlanta. Use significance level of 5%. 10.8 Suppose a market analyst wants to determine the difference in the average priceofa gallon ofwhole milk in Seattle and Atlanta.To do so,he takes a telephonesurvey of21 randomly selected consumers in Seattle who have purchased a gallon ofmilk and asks how much they paid for it.The analyst undertakes a similar survey in Atlanta with 18 respondents.Assume the population variancefor Seattle is 0.03,the population variance for Atlanta is 0.015,and that the priceofmilk is normally distributed.Using the resulting sample information that follows, a. Compute a 99% condence interval to estimate the difference in the mean priceofa gallon ofmilk between the two cities. b. Using a 1% level ofsignicance,test to determine ifthere is a signicant differencein the price ofa gallon ofmilk between the two cities. Copyright | Wiley | Business Statistics | Edition 8 | ingramke89@gmail.com | Printed from www.chegg.com State the null and alternative hypothesis. Place the null and alternative hypothesis in this cell What is (are) the critical value(s) of sample test statistics based on problem specified significance level? Place the critical value(s) of sample test statistics in this cell What is the calculated sample statistic based on sample data? Place the value of sample test statistic in this cell Reject or don't reject null hypothesis? State "reject/don't reject null hypothesis" in this cell What statement should be made about the difference in cost of gallon of milk in Seattle and Atlanta? Place the statement about the difference in cost of a gallon of milk in Seattle and Atlanta in this cell PLACE (COPY/PASTE) YOUR COMPUTER GENERATED OUTPUT SUCH AS EXCEL'S EMBEDDED FUNCTIONS AND EXCELS GENERATED TABULAR DATA IN THIS AREA. 4. Using your computer software program and the data on pg. 407, problem 10.63, answer the followings: Construct a 90% confidence interval to estimate the average difference between the price of name-brand soup and the price of store-brand soup. the 90% confidence interval in this cell Place Does it make sense to treat these variables (groups) as dependent or independent when conducting test of hypothesis? Why would it matter? What are the trade-offs? Place your answer to the above questions in this cell (variable treatment, trade-offs, ...) Conduct the appropriate test of hypothesis to determine whether there is a difference between the price of name-brand soup and store-brand soup, using significance level of 10%. Use the five step process and analyze your results in relation to the information described in the exercise. State the null and alternative hypothesis. Place the null and alternative hypothesis in this cell What is (are) the critical value(s) of sample test statistics based on problem specified significance level? Place the critical value(s) of sample test statistics in this cell What is the calculated sample statistic based on sample data? (the computer generated output should provide this information) Place the value of sample test statistic in this cell Reject or don't reject null hypothesis? State "reject/don't reject null hypothesis" in this cell What statement should be made about the difference between price of name-brand soup and store-brand soup? Place the statement about the difference between price of name-brand soup and store-brand soup in this cell PLACE (COPY/PASTE) YOUR COMPUTER GENERATED OUTPUT SUCH AS EXCEL'S EMBEDDED FUNCTIONS AND EXCELS GENERATED TABULAR DATA IN THIS AREA. 5. Using the data in chapter 11, problem #11.13, pg. 428, have the computer do a one-way analysis of variance to determine whether there is a significant difference in the evaluations according to manager level. 5a. What are the appropriate null and alternative hypothesis? Place the null and alternative hypothesis in this cell 5b. What is the test statistic that should be used for this type of test of hypothesis and its actual value based on your computer output? Place the value of the test statistic in this cell 5c. What is the critical value of the test statistic? Place the critical value of the test statistic in this cell 5d. What statement should be made about the null hypothesis based on your answers to the previous two questions? Place the statement (reject/don't reject) null hypothesis in this cell 5e. What is the conclusion specific to this problem based on the statement made about the null hypothesis in the previous question? Place the specific conclusion in this cell AREA. 6. If you obtain a significant F statistic for question 5, run a Post-Hoc Comparison's test on the 3 means to answer this question. You can select whichever Post-Hoc Comparison procedure you desire. If none exists on your software, do individual t-tests on all pairs of means. (This problem relates to the concept in chapter 11.3) 6a. Which Post-Hoc Comparison procedure did you use for this problem? Place the name of the Post-Hoc Comparison procedure used in this cell 6b. Which pairs of means are significantly different, if any? Place your answer for question 2b in this cell 6c. What is the conclusion specific to this problem based on the answer to "Which pairs of means are significantly different, if any?"? Place your answer for question 2c in this cell AREA