Question

Assume that the differences are normally distributed. Complete parts (a) through (d) below Observation 1 2 3 45 678 44.1 52.2 44.5 483 433 516 522438 45.2 537 48.7 534 45.1 548 533459 (a) Determine d X-Y for each pair of data Observation 34567 (Type integers or decimals.) (b) Compute d and sa d(Round to three decimal places as needed) sa Round to three decimal places as needed.) (c) Test if Ha 0 at the a 0.05 level of significance What are the correct null and alternative hypotheses? 8 O D. Ho Md 50

Answer 1

Observation 1 11 1.5 4.25.1 -1.8 3.2 -1.12.1 EXCEL (Mega Stat) output:

Hypothesis Test: Paired Observations 0.0000 hypothesized value 47.5000 mean X 50.0125 mean Y 2.5125 mean difference (X-Y) 1.4980 std. dev 0.5296 std. error 7 df 4.74 t 0010 p-value (one-tailed, lower -3.7649 confidence interval 95.% lower 1.2601 confidence interval 95% upper 1.2524 margin of error d2.513 = 1.498

P-value 0.001 B. Reject the null hypothesis. There is sufficient evidence that big < 0 at the α-0.05 level of significance The lower bound is-3.76

The upper bound is -1.26