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A. Ho: the mean commission is the same for all three salespeople.*B. Ho: the mean commission is not the same for all three salespeople.C. Ho: the mean commission for each salesperson is different from the others.D. Ho: the mean commission is the same for Bill and Sarah.E. Ho: the mean commission is the same among months.COURSE: DSCI 3710 Print Name:Exam 1 Signature:Version A SID #:SEMESTER: Fall 2006Note: Whenever question(s) are connected you may be asked to assume a result(given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question.Use the information given in the following paragraph to answer the first three questions.Instructions: Please print your name and student identification number on this exam. Also,put your signature on this exam. On your scantron PRINT your name, your version, and your section number.To better protect your privacy also print your name on the backside of your scantron. You have 75 minutes to complete this exam. The exam is open book, open notes, and open mind. You may use any type of calculator but please show all your work on the exam and mark all answers on the scantron. Many of the questions follow the format of those in Hawkes Learning System - Business Statistics. The remaining questions are either based on the Excel assignment or use a Hawkes Learning System - like approach with problems similar to those assigned in the textbook. When you have completed the exam, please insert your scantron into the exam booklet and turn them in to your instructor. No cheating. Good luck and we wish you well on the exam.1Two hundred people are randomly chosen at a shopping mall to taste-test a new brand of fruit drink. They are asked to rate the drink on a scale from 1 to 5, with 1 being very bad and 5 being very good. The results of the survey reveal that the average rating is 3.63 with a standard deviation of 1.22. The marketing division of the fruit drink distributor is only interested in selling this drink if the average rating is more than 3.5. 1. What is the null hypothesis for testing whether the fruit drink distributor should sell this drink?a. Ho: µ ≠ 3.5b. Ho: µ = 3.5c. Ho: µ < 3.5*d. Ho: µ > 3.5e. Ho: µ > 3.632. What is the rejection region for testing at the .025 level of significance whether the fruit drink distributor should sell this drink?a. Z > 1.645b. Z > 1.96*c. Z < -1.645d. Z < -1.96e. Z < -1.283. Assuming the calculated value of the test statistic is 2.51, what is the conclusion of testing at the .05 level of significance whether the fruit drink distributor should sell this drink?a. Based on the sample data, there is sufficient evidence to conclude that the average rating is more than 3.5.*b. Based on the sample data, there is not sufficient evidence to conclude that the average rating is more than 3.5.c. Based on the sample data, there is sufficient evidence to conclude that the average rating is no more than 3.5.d. Based on the sample data, there is not sufficient evidence to conclude that the average rating is no more than 3.5.e. none of the abovePlease use the information given in the paragraph below to answer the four questions that follow. One goal of your company is to become more environmental friendly. Your company owns a fleet of large trucks to transport products across the U.S. These trucks regularly achieve less than 8 miles per gallon. Through advancement in technology, the StarHybrid company is offering a hybrid truck model that is capable of carrying loads equivalent to current gas guzzling models. 2The StarHybrid company offered to allow nine of your drivers to test drive their trucks for a week. The StarHybrid company claims that a truck with a full load (approx. 5,000 pounds) will average more than 20 miles per gallon. You believe StarHybird’s miles-per-gallon claim; but need to systematically verify the belief with some sample data before deciding to purchase a fleet of these vehicles. It is believed that the population standard deviation is 2.21 and the mpg follows a normal distribution. So you had your drivers track the mileage on their trucks, and learned that the sample mean is 22.36 miles per gallon.4. What kind of test would be most appropriate for this data to test your belief?A. T-Test for Population Mean B. Z-Test for Population Mean* C. Analysis of Variance for Single SampleD. Paired T-TestE. Hypothesis test for Population Proportion5. What is the best set of hypothesis for testing your belief?A. Ho: μ < 22.36 Ha: μ > 22.36B. Ho: μ < 20 Ha: μ > 20C. Ho: μ < 20 Ha: μ > 20*D. Ho: μ < 8 Ha: μ > 8E. Ho: μ > 20 Ha: μ < 20 6. What is the calculated value of the test statistic?A. 1.28B. 1.645C. 2.21D. 3.20*E. 1.007. Assume that the p-value is 0.087 and the significance level used was 10% for this one-tailed test. What would you conclude?A. Conclude that there is evidence that the trucks get more than 20 miles per gallon on average because the p-value is less than the level of significance.*B. Conclude that there is evidence that the trucks get more that 20 miles per gallon on average because the mean of 22.36 is more than the critical value of the test statistic.C. Conclude that there is evidence that the trucks get less than 20 miles per gallon on averagebecause the p-value is more than the level of significance. D. Conclude that there is insufficient evidence that the trucks get more than 20 miles per gallon on average because the p-value is more than the level of significance.E. There is not enough information to draw a conclusion.Use the information given in the next paragraph to answer the next three questions.The table below shows the test scores of 10 employees who participated in a new corporate training program that lasted one week. The scores shown are those before and after completing the program, for each employee. Test whether there is significant improvement of at least 10 points. Excel analysis at the 1% significance level is shown.3t-Test: Paired Two Sample for Means After BeforeMean 127.1 118.9Variance 22.54444444 14.54444444Observations 10 10Pearson Correlation 0.853525073Hypothesized Mean Difference 10df 9t Stat -2.29011011P(T<=t) one-tail 0.023883025t Critical one-tail 2.821437921P(T<=t) two-tail 0.04776605t Critical two-tail 3.249835541 8. What is the table value (at the 1 % level) of the appropriate

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