MATH 225N Real Final Exam Questions

MATH 225N Real Final Exam Questions 1. Question: A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. 2. Question: The answer choices below represent different hypothesis tests. Which of the choices are right-tailedtests? Select all correct answers. 3. Question: Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more than 15%of structures in the county were built without permits. 4. Question: Suppose a chef claims that her meatball weight is less than 4ounces, on average. Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a 10% significance level, to persuade them. She cooks 14 The mean weight of the sample meatballs is 3.7 ounces. The chef knows from experience that the standard deviation for her meatball weight is 0.5 ounces…….What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? 5. Question: What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=1.74? (Do not round your answer; compute your answer using a value from the table below.)… 51.61.71.81.90.000.9330.9450.9550.9640.9710.010.9340.9460.9560.9650.9720.020.9360.9470. 9570.9660.9730.030.9370.9480.9580.9660.9730.040.9380.9490.9590.9670.9740.050.9390.9510 .9600.9680.9740.060.9410.9520.9610.9690.9750.070.9420.9530.9620.9690.9760.080.9430.954 0.9620.9700.9760.090.9440.9540.9630.9710.977 6. Question: Kenneth, a competitor in cup stacking, claims that his average stacking time is 2seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth’s mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. 7. Question: A recent study suggested that 81%of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test? 8. Question: A researcher claims that the proportion of cars with manual transmission is less than 10%. To test this claim, a survey checked 1000randomly selected cars. Of those cars, 95 had a manual transmission………The following is the setup for the hypothesis test: {H0:p=0.10Ha:p<0.10 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places. 9. Question: A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects…… The following is the setup for this hypothesis test: H0:p = 0.12 Ha:p ≠12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can … utilized which provides areas under the Standard Normal Curve: 10. Question: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. 11. Question: Becky’s statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30times and got heads 18 times…… Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50% Which answer choice shows the correct null and alternative hypotheses for this test?