Question

please help!

1. Let X One-way commute time to school, and Y- The corresponding time back to home. Commute to School Going Back Home 22-Jan 24-Jan 29-Jan 31-Jan 5-Feb 7-Feb 12-Feb 14-Feb 43 48 45 65 39 48 72 69 63 48 54 49 58 63 82 Propose an unbiased point estimator for μ,- respectively, and define your samples clearly. Construct/derive a (1-α ) 100% C.I. for μ r-14, and specifically based on a random sample of size n, a. b. State the pivot and its distribution; 1) 2) State the assumptions so that the C.I. would be valid. c. Perform the following test with size a Ho : μΧ-Hy H: μ? μΥ , and in particular vs. 1) State the test statistic, and identify its null distribution; 2) Describe how the p-value of the test can be calculated; 3) State your decision rules and the assumptions so that the test would be valid.

Answer 1

g~ Sande Varl av. е.dg td 呔,

sd ek P- Nalu (xi,%) 对 @wor; cd-e mer ma.) taik mung