UNT DSCI 3710  Practice Exam_1_with Keys (8 pages)
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Practice Exam_1_with Keys
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 University of North Texas
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 Dsci 3710  Business Statistics
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Practice Exam 2018 Use the information given in the following paragraph to answer the four questions that follow The Dallas Food Bureau has received several complaints that a sugar company is underfilling its five pound bags of sugar The Bureau randomly selects 1500 bags of sugar and determines the weight of each bag The sample average weight of the bags is 4 90 pounds Assume the population standard deviation is known to be 0 2 pounds At the 0 01 level of significance is there sufficient evidence that the bags are underfilled 1 What is the null hypothesis for testing whether the bags are underfilled A Ho 4 9 B Ho 5 C Ho 5 D Ho 5 E Ho 4 9 2 What is the rejection region for testing at the 0 01 level of significance whether the bags are underfilled A Z 1 645 B Z 2 04 C Z 2 58 D Z 2 33 E Z 1 96 3 Assuming the calculated value of the test statistic is 19 36 what is the conclusion of testing at the 0 01 level of significance A Reject Ha There is evidence that the bags are not underfilled B Reject Ho There is sufficient evidence that the bags are underfilled C Reject Ho That the bags are underfilled is not supported D Fail to reject Ho There is insufficient evidence to support that the bags are not underfilled E Fail to reject Ho The bags are not underfilled is supported 4 Assuming the calculated value of the test statistic was 19 36 which of the following ranges would best describe the p value for the test A p 0 1 B 0 05 p 0 10 C 0 025 p 0 05 D 0 01 p 0 025 E p 0 01 1 Use the information given in the following paragraph to answer the four questions that follow Golden Leaves Investment Inc has a large staff of sales agents nationwide Senior management of the company believe that 75 of their agents meet their annual sales goals by the end of the November of each year To investigate this they randomly select 250 agents and examined their sales records at the end of the November of the current year 180 of the 250 agents surveyed had already met their annual sales goals The senior management s claim is to be tested at 10 significance level 5 What are the null and alternative hypotheses for this test A Ho p 0 72 Ha p 0 72 B Ho p 0 75 Ha p 0 75 C Ho p 0 72 Ha p 0 72 D Ho p 0 75 Ha p 0 75 E Ho p 0 72 Ha p 0 72 6 The decision rule in this case will be to reject Ho if the value of the computed test statistic is A 1 645 or 1 645 B 2 04 C 1 28 or 1 28 D 1 28
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