Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 1 3 4 6 7 8 X1 49.0 50.9 49.1 42.2 54.5 43.6 48.1 52.0 Y, 50.3 50.5 50.5 47.6 54.1 46.9 50.7 53.1 (a) Determine d; = X - Y, for each pair of data. Observation 1 2 3 4 7 8 d; (Type integers or decimals.) (b) Compute d and sa. d%3D(Round to three decimal places as needed.)

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Assume that the differences are normally distributed. Complete parts (a) through (d) below.
Observation
2
3
4
5
6
7
8
X1
49.0
50.9
49.1
42.2
54.5
43.6
48.1
52.0
Yi
50.3
50.5
50.5
47.6
54.1
46.9
50.7
53.1
(a) Determine d; = X; - Y, for each pair of data.
Observation
1
2
3
4
6
7
8
d;
(Type integers or decimals.)
(b) Compute d and sd.
d =
(Round to three decimal places as needed.)
Sa =
(Round to three decimal places as needed.)
(c) Test if µg < 0 at the a= 0.05 level of significance.
What are the correct null and alternative hypotheses?
O A. Ho: Ha > 0
H1: Ha <0
O B. Ho: Ha = 0
H4: Ha <0
OC. Ho Ha <0
H1: Ha >0
O D. Ho: Ha < 0
H1: 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 ug <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.
O C. Reject the null hypothesis. There is sufficient evidence that Hg <0 at the a= 0.05 level of significance.
O D. Reject the null hypothesis. There is insufficient evidence that pa <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.)
Transcribed Image Text:Assume that the differences are normally distributed. Complete parts (a) through (d) below. Observation 2 3 4 5 6 7 8 X1 49.0 50.9 49.1 42.2 54.5 43.6 48.1 52.0 Yi 50.3 50.5 50.5 47.6 54.1 46.9 50.7 53.1 (a) Determine d; = X; - Y, for each pair of data. Observation 1 2 3 4 6 7 8 d; (Type integers or decimals.) (b) Compute d and sd. d = (Round to three decimal places as needed.) Sa = (Round to three decimal places as needed.) (c) Test if µg < 0 at the a= 0.05 level of significance. What are the correct null and alternative hypotheses? O A. Ho: Ha > 0 H1: Ha <0 O B. Ho: Ha = 0 H4: Ha <0 OC. Ho Ha <0 H1: Ha >0 O D. Ho: Ha < 0 H1: 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 ug <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. O C. Reject the null hypothesis. There is sufficient evidence that Hg <0 at the a= 0.05 level of significance. O D. Reject the null hypothesis. There is insufficient evidence that pa <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.)
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