Assume that the differences are normally distributed. Complete parts (a) through (d) below. 

Observation    1       2        3       4      5       6       7       8 

X_i                    53.0  52.9  45.9  43.5  50.9  43.8  47.5  46.6 

Y_i                   54.7  53.4   48.1  47.2  53.7  45.6  48.7   46.1 

 

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(a) Determine d, = X, -Y, for each pair of data. Observation 2 3 (Type integers or decimals) (b) Compute d and sg d= (Round to three decimal places as needed) (Round to three decimal places as needed) (c) Test if pe <0 at the a 0.05 level of significance. What are the correct null and altermative hypotheses? OA. Ho Ha>0 OB. Hg Ha s0 H: Ha =0 OC. Ho Ha <0 OD. Hg He"0 P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject the null hypothesis. There is sufficient evidence that pa <0 at the a = 0.05 level of significance. O B. Reject the null hypothesis. There is insufficient evidence that ua <0 at the a = 0.05 level of significance. O. Do not reject the null hypothesis. There is insufficient evidence that Hg <0 at the a = 0.05 level of significance OD. Do not reject the null hypothesis. There is sufficient evidence that ug <0 at the a = 0.05 level of significance. (d) Compute a 95% confidence interval about the population mean difference Hg. The lower bound is The upper bound is (Round to two decimal places as needed.) (a) Determine d, = X, -Y, for each pair of data. Observation 2 3 (Type integers or decimals) (b) Compute d and sg d= (Round to three decimal places as needed) (Round to three decimal places as needed) (c) Test if pe <0 at the a 0.05 level of significance. What are the correct null and altermative hypotheses? OA. Ho Ha>0 OB. Hg Ha s0 H: Ha =0 OC. Ho Ha <0 OD. Hg He"0 P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject the null hypothesis. There is sufficient evidence that pa <0 at the a = 0.05 level of significance. O B. Reject the null hypothesis. There is insufficient evidence that ua <0 at the a = 0.05 level of significance. O. Do not reject the null hypothesis. There is insufficient evidence that Hg <0 at the a = 0.05 level of significance OD. Do not reject the null hypothesis. There is sufficient evidence that ug <0 at the a = 0.05 level of significance. (d) Compute a 95% confidence interval about the population mean difference Hg. The lower bound is The upper bound is (Round to two decimal places as needed.)