Question

Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean of d¯=4.3

and a sample standard deviation of s_d = 7.2.

(a) Calculate a 95 percent confidence interval for µ_d = µ₁ – µ₂. (Round your answers to 2 decimal places.)

Confidence interval = [ _____ , _____ ]; Yes or No?

(b) Test the null hypothesis H₀: µ_d = 0 versus the alternative hypothesis H_a: µ_d ≠ 0 by setting α equal to .10, .05, .01, and .001. How much evidence is there that µ_d differs from 0?

t =

(c) The p-value for testing H₀: µ_d < 3 versus H_a: µ_d > 3 equals 0.1062. Use the p-value to test these hypotheses with α equal to .10, .05, .01, and .001. How much evidence is there that µ_d exceeds 3? What does this say about the size of the difference between µ₁ and µ₂? (Round your p-value answer to 4 decimal places.)

p = ______

Answer 1