Use the Confidence Interval applet for Exercise 91.

Question 8.91

91. Set the confidence level to 90%. Click “Sample 50” to produce 50 simple random samples (SRSs) and display the resulting 90% confidence intervals for .

  1. What is the percent hit, that is, the proportion of the confidence intervals that actually contain the true value of ?
  2. Keep clicking “Sample 50” until 1000 confidence intervals are generated. What is the percent hit?
  3. It is not likely (though it is possible) that the percent hit in (b) exactly equals 90%. Explain why the percent hit is not equal to 90% when we asked for a confidence level of 90%.

8.1.91

Answers will vary.