Please answer questions 6 and 16. Thank you!

10l28l22, 6:28 PM Quiz: Q8 QB Started: Oct 28 at 6:28pm Quiz Instructions The grit used in an industrial shot blasting machine is supposed to have a mean particle diameter of 0.76 mm. A simple random sample of 100 pieces of grit will be taken from a batch of grit. The manufacturing process will require recalibration if the population mean is found to differ from 0.76 mm at significance level a = 0.05. Experience with the process reveals that the standard deviation is known to be about 0.08 mm even when the mean drifts. Question 1 0.5 pts Find the rejection region in terms of the test statistic, Z: we reject if Z Zcriticala Where Zcritical 2 Question 2 0.5 pts Find the rejection region in terms of the sample mean, X. This question asks for the lower part of the region. (The next question asks for the upper part.) We reject if X Hint: Use your upper Z value from the previous problem to solve for X in _ XHn Z_ U/W' Question 4 0.5 pts Suppose we change the significance level from a : 0.05 to CE : 0.10. What does this do to the rejection region? Q It makes the rejection region larger. 0 It makes the rejection region smaller. 0 It has no effect on the rejection region. httpszllcanvaswiso.edu/coumes/320503/quizze51373561[take 217 10128722, 6:28 PM Quiz: Q8 Question 5 0.5 pts Here are 24 observations of rock sampled from petroleum reservoirs that we will treat as a SRS from the reservoirs. Here area is a measure of pore space. area = C(8793, 10651, 10743, 4193, 5267, 8393, 1468, 3524, 7416, 6360, 7558, 8209, 9333, 5048, 8868, 3475, 8874, 12212, 4895, 8624, 11876, 5980, 7979, 10962) Make a histogram and a normal QQ plot of the area data. Is it reasonable to suppose a normal population of area measurements? 0 Yes. O No. Question 6 0.5 pts Regarding the rock data in the previous question, consider running a running a ttest for a population mean at level a = 0.05 of Ho 3 Mama = 8000 vs. HA : ,u'axea 30). C] The Central Limit Theorem applies (which we assume because n*pi_0 > 5 and n*(1 - p_0) > 5). Question 7 0.5 pts httpszllcanvaswiso.edu/courses/320503/quizzes.'373561[take 3!? 10/28/22, 6:28 PM Quiz: Q8 Find the value of the test statistic. Question 8 0.5 pts Find the p-value. Question 9 0.5 pts Find a 99% confidence interval for Marea . What is its lower bound? Question 10 0.5 pts What is the interval's upper bound? https://canvas.wisc.edu/courses/320503/quizzes/373561/take 4/710/28/22, 6:28 PM Quiz: Q8 Question 11 0.5 pts Susan ran a hypothesis test of Ho : u = 25 vs. HA : u * 25 and got a p-value of 0.03. If she found a 95% confidence interval for / from the same data, would it contain 25? O Yes. O No. Question 12 0.5 pts If Susan found a 99% confidence interval for / from the same data, would it contain 25? O Yes. O No. Question 13 0.25 pts Bill collected a simple random sample and found a 90% confidence interval for an unknown mean / as (140, 160). If he ran a test of Ho : M = 147 vs. HA : u # 147, would he reject Ho at level a = 0.10? O Yes. O No. https://canvas.wisc.edu/courses/320503/quizzes/373561/take 5/710/28/22, 6:28 PM Quiz: Q8 Question 14 0.25 pts Consider a Z test of Ho : M = 100 vs. HA : u # 100 to be run at level a = 0.01. The rejection region in Z is Z Zcritical, where Zcritical = Question 15 0.25 pts Suppose the sample size is to be n = 25 and the population standard deviation is known to be o = 2. The rejection region in X is X 101.03 Hint: Solve for X in Z = = X - Ho o/ n Question 16 0.25 pts Find the power when the true population mean is MA = 98. https://canvas.wisc.edu/courses/320503/quizzes/373561/take 6/7