For Exercises 29–49, assume normality and use Welch's test and interval unless otherwise indicated.

Question 10.87

36. Park Usage. Suppose that planners for the town of The Woodlands, Texas, were interested in assessing usage of their parks. Random samples were taken of the number of daily visitors to Windvale Park and Cranebrook Park, with the statistics as reported here.

Windvale Park
Cranebrook Park
  1. Construct and interpret a 95% confidence interval for .
  2. Test at whether is less than .
  3. Explain whether the confidence interval in (a) could have been used to perform the hypothesis test in (b). Why or why not?