Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2 3 4 6 7 8 X; 48.7 51.2 45.8 47.3 49.4 52.1 48.3 44.4 Yi 51.4 50.9 50.7 51.7 51.8 51.9 51.7 45.7 LO

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Assume that the differences are normally distributed. Complete parts (a) through (d) below.
Observation
1
2
3
4
5
6
7
8
X;
48.7
51.2
45.8
47.3
49.4
52.1
48.3
44.4
Y;
51.4
50.9
50.7
51.7
51.8
51.9
51.7
45 7
(a) Determine d; = X; - Y, for each pair of data.
Observation
1
2
5
7
8
d;
(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 H < 0 at the a = 0.05 level of significance.
What are the correct null and alternative hypotheses?
O A. Ho: Hd < 0
H1: Ha > 0
O B. Ho: Hd >0
H1: Ha <0
OC. Ho: Ha <0
O D. Ho: Ha = 0
H1: Ha <0
H1: Ha = 0
Click to select your answer(s).
Transcribed Image Text:Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 7 8 X; 48.7 51.2 45.8 47.3 49.4 52.1 48.3 44.4 Y; 51.4 50.9 50.7 51.7 51.8 51.9 51.7 45 7 (a) Determine d; = X; - Y, for each pair of data. Observation 1 2 5 7 8 d; (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 H < 0 at the a = 0.05 level of significance. What are the correct null and alternative hypotheses? O A. Ho: Hd < 0 H1: Ha > 0 O B. Ho: Hd >0 H1: Ha <0 OC. Ho: Ha <0 O D. Ho: Ha = 0 H1: Ha <0 H1: Ha = 0 Click to select your answer(s).
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 Ha <0 at the a = 0.05 level of significance.
O B. Do not reject the null hypothesis. There is sufficient evidence that Ha < 0 at the a = 0.05 level of significance.
OC. Reject the null hypothesis. There is insufficient evidence that Ha <0 at the a = 0.05 level of significance.
O D. Do not reject the null hypothesis. There is insufficient evidence that Hg < 0 at the a = 0.05 level of significance.
(d) Compute a 95% confidence interval about the population mean difference Ha-
The lower bound is
The upper bound is
(Round to two decimal places as needed.)
Transcribed Image Text: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 Ha <0 at the a = 0.05 level of significance. O B. Do not reject the null hypothesis. There is sufficient evidence that Ha < 0 at the a = 0.05 level of significance. OC. Reject the null hypothesis. There is insufficient evidence that Ha <0 at the a = 0.05 level of significance. O D. Do not reject the null hypothesis. There is insufficient evidence that Hg < 0 at the a = 0.05 level of significance. (d) Compute a 95% confidence interval about the population mean difference Ha- The lower bound is The upper bound is (Round to two decimal places as needed.)
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