Question Listed below are the heights of candidates who won

Question
Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological order, so the corresponding heights from the two lists are matched.

Winner: 73, 74, 77, 70, 68, 69, 73, 74
Runner-Up: 71, 70, 72, 68, 69, 69, 68, 73

(a.) A well-known theory is that winning candidates are taller than the corresponding losing candidates. Use a 0.05 significance level to test that theory. Does the height appear to be an important factor in winning an election?
a. No, because the null hypothesis is rejected.
b. No, because the null hypothesis is not rejected.
c. Yes, because the null hypothesis is rejected
d. Yes, because the null hypothesis is not rejected

(b.) If you plan to test the claim in part (a) by using a confidence interval, what confidence level should be used?
a. 95%
b. 10%
c. 90%
d. 5%

(c.) Construct a confidence interval using that level, then interpret the result:
______ < ud < ______

(d.) Based on the confidence interval, does height appear to be an important factor in winning an election?
a. Yes, because the confidence interval does not include zero
b. No, because the confidence interval includes zero
c. No, because the confidence interval does not include zero
d. Yes, because the confidence interval includes zero

Solution