For each scenario below, decide if it would be appropriate to use (1) Critical z-values or (2) Critical t-values to find the confidence interval.   A certain test preparation course is designed to help students improve their scores on the LSAT exam.  A mock exam is given at the beginning and end of the course to determine the effectiveness of the course.  The following measurements are the net change in 5 students' scores on the exam after completing the course: 13, 19, 22, 15, 29 Using these data, construct a 90% confidence

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For each scenario below, decide if it would be appropriate to use (1) Critical z-values or (2) Critical t-values to find the confidence interval.

 

A certain test preparation course is designed to help students improve their scores on the LSAT exam.  A mock exam is given at the beginning and end of the course to determine the effectiveness of the course.  The following measurements are the net change in 5 students' scores on the exam after completing the course:

13, 19, 22, 15, 29

Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course.  Assume the population is approximately normal.

 

A manager records the repair cost for 6 randomly selected TVs.  A sample mean of $67.87 and standard deviation of $28.03 are subsequently computed.  Determine the 95% confidence interval for the mean repair cost for the TVs.  Assume the population is approximately normal.

 

A survey of 61 randomly selected homeowners finds that they spend a mean of $73 per month on home maintenance.  Construct a 99% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners.  Assume that the population standard deviation is $11 per month.

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