ExtraCredit-08: Problem 2 Problem Value: 1 point(s). Problem Score: 50%. Attempts Remaining: Unlimited. (1 point) Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed within an average time of 16 minutes or less. If more time is required, a premium rate is charged. The testable hypotheses in this situation are Ho : / = 16 vs. Ha : u > 16 1. Identify the consequences of making a Type I error. O A. The company charges the customer the premium rate when they should not. O B. The company does not charge the customer the premium rate when they should not. O C. The company does not charge the customer the premium rate when they should. O D. The company charges the customer the premium rate when they should. 2. Identify the consequences of making a Type II error. O A. The company charges the customer the premium rate when they should not. O B. The company does not charge the customer the premium rate when they should. O C. The company charges the customer the premium rate when they should. O D. The company does not charge the customer the premium rate when they should not. To monitor the billing rate, the manager is going to take a random sample of 30 surveys each shift and calculate the average survey time in the sample. They make a decision rule that if @ 2 17.5, they will charge the premium rate for that shift's work. Assume the population standard deviation is 5 minutes 3. What is the probability that the company will make a Type I error using this decision rule? Round your answer to four decimal places. 4. Using this decision rule, what is the power of the test if the actual mean time to complete the survey is 18 minutes? That is, what is the probability they will reject Ho when the actual average time is 18 minutes? Round your answer to four decimal places.ExtraCredit-07: Problem 4 Problem Value: 1 point(s). Problem Score: 50%. Attempts Remaining: Unlimited. (1 point) In 2015, the average cost of attendance at public 2-year colleges and technical schools across the United States was $12,260. A researcher wants to know if the 2-year colleges in Michigan are less expensive. 1. A QQ-plot of the cost of attendance at public 2-year colleges and technical schools is shown below. Based on this plot, is it reasonable to use this data to evaluate the research question? Why or why not? Yes v because The population data distribution seems approximately normal. Normal Q-Q Plot 1600D 14000 12000 Sample Quartiles 10000 800D Theoretical Quanbles The researcher decides to conduct a hypothesis test. They take a random sample of 15 such schools in Michigan and find a sample average of 10246 with a standard deviation of 1681. Conduct a hypothesis test to determine if the average cost of attendance at 2-year colleges in Michigan is lower than the national average. Round all numeric results to 4 decimal places.3. Calculate the test statistic. :] 4. Calculate the pvalue. :] 5. Based on the pvalue, we have: 0 A. little evidence Q B. extremely strong evidence 0 C. strong evidence 0 D. some evidence 0 E. veryr strong evidence that the null model is not a good t for our observed data. 6. Calculate a 95% oonclenoe interval for the mean cost of attendance at 2year colleges in Michigan. 6 , $ ) ExtraCredit-07: Problem 6 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: Unlimited. 1 point) An electronics manufacturer has developed a new type of remote control button that is designed to operate longer before failing to work consistently. A random sample of 27 of the new buttons is selected and each is tested in continuous operation until it fails to work consistently. The resulting lifetimes are found to have a sample mean of a = 1253.9 hours and a sample standard deviation of s = 103.8. Independent tests reveal that the mean lifetime of the best remote control button on the market is 1220 hours. Conduct a hypothesis test to determine if the new button's mean lifetime exceeds 1220 hours. Round all calculated answers to four decimal places. 1. The null hypothesis is Ho : / = 1220. What is the alternate hypothesis? OA. Ha : H > 1253.9 OB. Ha : H > 1220 OC. Ha : H # 1220 OD. Ha : u # 1253.9 OE. Ha : / 204.6 2. Calculate the test statistic. ? 3. Calculate the p-value. p-value = 4. Calculate the effect size
