Medicare would like to test the hypothesis that the standard deviation for the monthly rate for a one-bedroom assisted-living facility is more than 400.
A random sample of 17 assisted living facilities had a standard deviation of 530. Using = 0.01, the conclusion for this hypothesis test would be that because the test statistic is ___________________________.
A) more than the critical value, we fail to reject the null hypothesis and conclude that the standard deviation for the monthly rates of one bedroom assisted-living facilities is more than 400
B) less than the critical value, we reject the null hypothesis and cannot conclude that the standard deviation for the monthly rates of one bedroom assisted-living facilities is more than 400
C) less than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the monthly rates of one bedroom assisted-living facilities is more than 400
D) more than the critical value, we fail to reject the null hypothesis and cannot conclude that the standard deviation for the monthly rates of one bedroom assisted-living facilities is more than 400
Q. 2A random sample of 25 roundtrip flights between Philadelphia and Dallas has an average airfare of 393.50 with a sample standard deviation of 50.30. The margin of error for a 90 confidence interval around this sample mean is ________.
A) 10.6
B) 14.1
C) 17.2
D) 22.9
Q. 3Sarah is the office manager for a group of financial advisors who provide financial services for individual clients.
She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The following table shows the number of presentations and corresponding new clients for a random sample of six employees.Employee Presentations New Clients1 7 22 9 33 9 44 10 35 11 56 12 3Sarah would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. The coefficient of determination for this sample is ________.A) 0.266
B) 0.457
C) 0.632
D) 0.743
Q. 4If the test statistic for the Wilcoxon signed-rank test is greater than the critical value for the Wilcoxon signed-rank test, the null hypothesis is rejected.
Indicate whether the statement is true or false
Q. 5The average battery life of the iPhone is reported to be 7.0 hours. Assume that the standard deviation for the battery life for this cell phone is 45 minutes. A random sample of 38 iPhones had an average battery life of 6.5 hours.
Which of the following statements is correct?A) The interval that contains 95 of the sample means is 6.76 and 7.24 hours. Because the sample mean is not between these two values, we do not have support that the average battery life equals 7.0 hours.
B) The interval that contains 95 of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we do not have support that the average battery life equals 7.0 hours.
C) The interval that contains 95 of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we have support that the average battery life equals 7.0 hours.
D) The interval that contains 95 of the sample means is 6.76 and 7.24 hours. Because the sample mean is not between these two values, we have support that the average battery life equals 7.0 hours.
Q. 6The smaller the test statistic for the Wilcoxon signed-rank test, the more likely that we will be able to reject the null hypothesis.
Indicate whether the statement is true or false
Q. 7The national average price for regular gasoline was recently reported to be 3.29 per gallon. The standard deviation for the price of regular gasoline was 0.12. A random sample of 33 gas stations had an average price of 3.26.
Which of the following statements is correct?A) The interval that contains 95 of the sample means is 3.17 and 3.41. Because the sample mean is between these two values, we have support that the average price for regular gasoline is 3.29.
B) The interval that contains 95 of the sample means is 3.20 and 3.38. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is 3.29.
C) The interval that contains 95 of the sample means is 3.23 and 3.35. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is 3.29.
D) The interval that contains 95 of the sample means is 3.25 and 3.33. Because the sample mean is between these two values, we have support that the average price for regular gasoline is 3.29.
Q. 8Medicare would like to test the hypothesis that the standard deviation for the monthly rate for one-bedroom assisted-living facility is more than 400.
A random sample of 17 assisted living facilities had a standard deviation of 530. Using = 0.01, the critical value for this hypothesis test would be ________.
A) 5.812
B) 6.908
C) 32.000
D) 34.267
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