Question

1. A local judge of 10 years feels that his case load is getting extreme. He takes a random sample of 31 days over the past 5 years and finds that he on average sees 11 cases per day with a standard deviation of 3. We want to create a 95% confidence interval for the true mean number of cases the local judge sees per day.

   True or False: The conditions for this problem are met since he has been a judge more than 310 days, he takes a random sample, and the sample size is large enough (>30) that the CLT should be reasonable (that is, a normal approximation should be ok).

   True

   False

  

QUESTION 2

1. A local judge of 10 years feels that his case load is getting extreme. He takes a random sample of 31 days over the past 5 years and finds that he on average sees 11 cases per day with a standard deviation of 3. We want to create a 95% confidence interval for the true mean number of cases the local judge sees per day.   What is the standard error of the confidence interval? Report you answer to four decimal places.

  

QUESTION 3

1. A local judge of 10 years feels that his case load is getting extreme. He takes a random sample of 31 days over the page 5 years and finds that he on average sees 11 cases per day with a standard deviation of 3.  Find the 95% confidence interval for the true mean number of cases the local judge sees per day.  In the box, put the lower bound of your confidence interval with two digits after the decimal point.

Answer 1