Question

Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 53.0 54.6 2 51.4 51.7 3 42.7 47.2 4 42.9 47.6 5 51.6 522 6 48.2 49.8 7 45. 9 46.6 8 48.6 49.7 3 4 5 6 (a) Determine di = X; - Y, for each pair of data. Observation 1 2 -1.6 -0.3 (Type integers or decimals.) (b) Computed and so 7 -0.7 8 - 1.1 di -4.5 -45 -47 -4.7 -0.6 -1.6 a = - 1.888 (Round to three decimal places as needed.) $a = (Round to three decimal places as needed.) (c) Test if He <0 at the a = 0.05 level of significance. What are the correct null and alternative hypotheses? O A. Ho: Ho<0 H:Hd = 0 | 0C. Ho Ha = 0 H:Hd <0 OB. Ho Hd < 0 H:Hd > 0 OD. Ho: Ma>0 | H: Ha < 0 P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Do not reject the null hypothesis. There is insufficient evidence that Hd <0 at the a= 0.05 level of significance. OB. Reject the null hypothesis. There is sufficient evidence that Hd <0 at the a=0.05 level of significance. O C. Do not reject the null hypothesis. There is sufficient evidence that a <0 at the a = 0.05 level of significance. OD. Reject the null hypothesis. There is insufficient evidence that Hd <0 at the a=0.05 level of significance (d) Compute a 95% confidence interval about the population mean difference Hd The lower bound is The upper bound is (Round to two decimal places as needed.)