For each of Exercises 57–60, do the following:

  1. Find the point estimate of the population mean.
  2. Calculate .
  3. Find for a confidence interval for the indicated confidence level.
  4. Confirm that the conditions for constructing a interval are met.
  5. Construct and interpret a confidence interval with the indicated confidence level for the population mean.

Question 8.59

59. Engaging with Science. A psychological study found that the mean length of time that boys remained engaged with a science exhibit at a museum was 107 seconds with a standard deviation of 117 seconds.2 Assume that the 117 seconds represents the population standard deviation. The sample size is 36 and let the confidence level be 95%.

8.1.59

(a) 107 seconds (b) 19.5 seconds (c) (d) and the population standard deviation is known. (e) (68.78, 145.22). We are 95% confident that the true mean length of time that boys remain engaged with a science exhibit at a museum lies between 68.78 seconds and 145.22 seconds.