Question

A website records the actual wait times (to the nearest minute) for the Pirates of the Caribbean ride and Splash Mountain ride at Walt Disney World. The results from a sample of each ride are shown below: Pirates of the Caribbean: n subscript 1 equals 30 comma space x with bar on top subscript 1 space equals space 15.867 space a n d space s subscript 1 equals 18.173 Splash Mountain: n subscript 2 equals 30 comma space x with bar on top subscript 2 space equals space 17.9 space a n d space s subscript 2 equals 11.050 If we were to conduct a hypothesis test to see that there is no difference between the wait times for these 2 rides (H subscript 0 colon space mu subscript 1 minus mu subscript 2 equals 0 space v s. space H subscript A colon space mu subscript 1 minus mu subscript 2 not equal to 0) at a significance level of alpha = 0.05, then find the following:

a) The t-test statistic Round the standard error to 5 decimal places and the answer to 3 decimal places b) The degrees of freedom for this test is 47. State the p-value.

c) State if we would Fail to reject or Reject the null hypothesis, H subscript 0.

Answer 1