MATH 225 Week 5 - 8 Final Exam Question and Answers

QUESTION 1·1 POINT A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ. Select the correct answer below: H0: μ≠33; Ha: μ=33 H0: μ=33; Ha: μ≠33 H0: μ≥33; Ha: μ33 H0: μ≤33; Ha: μ33 QUESTION 2·1 POINT The answer choices below represent different hypothesis tests. Which of the choices are right- tailed tests? Select all correct answers. Select all that apply: • H0:X≥17.1, Ha:X17.1 • • • H0:X≤3.8, Ha:X3.8 • • H0:X≤7.4, Ha:X7.4 • • H0:X=3.3, Ha:X≠3.3 • QUESTION 3·1 POINT Suppose a chef claims that her meatball weight is less than 4 ounces, 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 meatballs. 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. • H0: μ≥4; Ha: μ4 • α=0.1 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? Provide your answer below: $$Test statistic = QUESTION 4·1 POINT 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.) The p-value is equal to the area under the Standard Normal curve to the right of z=1.74. To the left, the p-value = 0.959. Therefore, the p-value to the right is 1-0.959 = 0.041 QUESTION 5·1 POINT Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. 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. • H0:μ=8.2 seconds; Ha:μ8.2 seconds • α=0.04 (significance level) • z0=−1.75 • p=0.0401 Select the correct answer below: Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. Reject the null hypothesis because the value of z is negative. Reject the null hypothesis because |−1.75|0.04. Do not reject the null hypothesis because |−1.75|0.04.