Question

11. Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation X Y 1 52.6 53.3 2 52.5 3 44.4 4 44.0 48.4 5 55.1 6 464 7 478 50.5 B 50.4 52.6 51.8 49.5 54.3 49.2 (a) Determine d = XY, for each pair of data. 2 5 6 7 Observation d (Type integers or decimals.) (b) Computed and s. (Round to three decimal places as needed.) Sa (Round to three decimal places as needed.) (c) Test if d < at the a = 0,05 level of significance What are the correct null and alternative hypotheses? O A. Ho Ho < 0 на 0 O C. Ho Hd > 0 H Hao P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. O A. Reject the null hypothesis. There is insufficient evidence that Ng <0 at the a = 0.05 level of significance O B. Do not reject the null hypothesis. There is sufficient evidence that Hy at the c = 0.05 level of significance OC. Reject the null hypothesis. There is sufficient evidence that Hd <0 at the a = 0.05 level of significance OD. Do not reject the null hypothesis. There is insufficient evidence that Ho <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.)

Answer 1

Date Page a) 1 2 3 4 5 6 7 8 obs. di - 0.7 -5.1 0.7 - 4.4 2.8 - 2.7 - 2.2 d = I Edi - 2.OS Sd= Edi² - na ²) n 2.182 c) Hon d=0 Hii llaco t = slun - 2.657 p value= 0.0163 i p value <0.05 Reject Ho, There that Maco is sufficient evidence Q=0.05 a- ta S I 2 Lower bound - 2.05 - 2.365 X 2.182 J8 3.87 a t ta s bound 2 in Upper - 0.23 0.226