STA 2014 Exam 4 Review Questions (1)

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2023

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Statistics

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May 19, 2024

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pdf

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STA 2014 Exam4 Review Questions for Chapter 7 1. A news article claims that 75% of college students believe that their online courses are as good as or superior to traditional face-to-face instruction. A statistics student disagrees with this statement and believes the true proportion of college students who believe that their online courses are as good as or superior to traditional face-to-face instruction is less than 75%. The student tests the hypotheses Ho: p=0.75, Ha: p<0.75 If the statistics student concludes that the true proportion of college students who believe that their online courses are as good as or superior to traditional face-to-face instruction is less than 75%, when in fact, the proportion is equal to 75%, the statistics student has made which type of error? 2. A statistics instructor wants to conduct 2 Fvrnthesis test #o determine if the mean number of credit hours taken by all UCF students is r- -uctor takes a sample of 25 UCF students and finds that they have « uean o1 1U.3 nours and a swandard deviation of 4.0 hours. Assume the population distribution of credit hours taken is approximately normal. What are the hypotheses for the test?
3. A statistics instructor wants to conduct a hypothesis test to determine if the mean number of credit hours taken by all UCF students is more than 10 hours. The instructor takes a sample of 25 UCF students and finds that they have a mean of 10.5 hours and a standard deviation of 4.0 hours. Assume the population distribution of credit hours taken is approximately normal. The test statistic is calculated to be 0.51. What is the critical value of the test at a=.05? Give the exact value from the table. 4. Reference questions 2 and 3 What is the conclusion of the test? 5. A political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. They want to do a hypothesis test to determine if political advertisements influenced the vote of more than 12% of all voters. The political scientist randomly surveyed 500 voters and asked if political advertisements influenced the way the person voted. 63 said the advertisements did influence their vote. What are the hypotheses for the test?
6. . A political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. They want to do a hypothesis test to determine if political advertisements influenced the vote of more than 12% of all voters. The political scientist randomly surveyed 500 voters and asked if political advertisements influenced the way the person voted. 63 said the advertisements did influence their vote. Calculate the test statistic. Round your final answer to two decimal places. Reference questions 5 @nd 6 The rejection region of the test at a=0.10 is Reject: Ho if z >1.28. What is the conclusion of the test? 8. A beverage bottling company labels a product as having a mean volume of 16 oz. It is important to the company and consumers that the volume of each beverage is as close to 16 oz as possible. A quality control analyst randomly selects 50 beverages and finds that the mean volume 1s 16.2 oz, and the standard deviation is 0.8 oz. The company will need to adjust the bottling procedures if evidence exists that the mean volume of all beverages differs from 16 oz. Is this enough evidence at: a=.05 to conclude that the mean volume of all beverages differs from 16 0z? What are the hypotheses of the test?
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