1.

If, in a dataset with 81 observations, you find the sample mean to be 10 and the sample variance to be 4, the t-statistic associated with the two-sided test of the null hypothesis that the population mean is equal to 2 will be exactly: a. 324. b. 162. c. 36. d. 18. e. None of the above.

2.

The time it takes me to travel to work is distributed as a Normal random variable with mean 60 minutes and a variance of 36 minutes. I want to leave home as late as possible, and I want to be 99% sure that I get to work on time. When should I leave home? a. 71.76 minutes before the work begins. b. 73.98 minutes before the work begins. c. 75.48 minutes before the work begins. d. 143.88 minutes before the work begins. e. None of the above.

3.

If, in a dataset with 121 observations, you find the sample mean to be 7 and the sample standard deviation to be 4, the corresponding 99% confidence interval for the population mean will be given by: a. (6.06, 7.94). b. (6.15, 7.85). c. (6.915, 7.085). d. (6.923, 7.077). e. None of the above.

4.

If, in a dataset with 64 observations, you find the sample standard error of the sample mean to be equal to 1.5, then the sample variance must have been equal to: a. 2.25. b. 18. c. 96. d. 144. e. None of the above.