In a study of academic procrastination, the authors of a paper reported that for a sample of 20 undergraduate students at a midsize public university preparing for a final exam in an introductory statistics course, the mean time spent studying for the exam was 5 hours and the standard deviation of study times was 2.2 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory statistics at this university. A) What is an appropriate distribution for this data set and why? The problem should use the t-distribution since the sample standard deviation is unknown.The problem can be assumed to be normal since n > 30. The problem should use the t-distribution since the population standard deviation is unknown. B) Construct a 98% confidence interval for the true population mean. Lower Bound = Upper Bound = C) Construct a 99% confidence interval for the true population mean. Lower Bound = Upper Bound =
In a study of academic procrastination, the authors of a paper reported that for a sample of 20 undergraduate students at a midsize public university preparing for a final exam in an introductory statistics course, the mean time spent studying for the exam was 5 hours and the standard deviation of study times was 2.2 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory statistics at this university.
A) What is an appropriate distribution for this data set and why?
B) Construct a 98% confidence interval for the true population mean.
Lower Bound =
Upper Bound =
C) Construct a 99% confidence interval for the true population mean.
Lower Bound =
Upper Bound =
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