Independent random samples from approximately normal populations produced the results shown below. Complete parts a and b. Full data setO Sample 1 39 Sample 2 50 45 29 58 30 42 62 51 58 45 30 35 56 57 28 36 34 45 70 a. Do the data present sufficient evidence to conclude that Hi - 2 0? Use a = 0.05. Let u, be the mean of population 1 and p2 be the mean of population 2. Select the correct hypotheses below. O A. Ho: H -H2 = 0, H H -H2 #0 O B. Ho: H1 -H2 = 0, H H1 -H2>0 OC. Ho: H1 -H2 = 0, H: H -H2 <0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
Independent random samples from approximately normal populations produced the results shown below. Complete
parts a and b.
Full data setO
Sample 1
39
Sample 2
50
45
29
58
30
42
62
51
58
45
30
35
56
57
28
36
34
45
70
a. Do the data present sufficient evidence to conclude that H-H2 *0? Use a = 0.05.
Let u, be the mean of population 1 and p2 be the mean of population 2. Select the correct hypotheses below.
O A. Ho: H1 -H2 = 0, H H -H2 #0
O B. Ho: H -H2 = 0, H: H1 - H2>0
OC. Ho: H1 -H2 = 0, H: H - H2 <0
Transcribed Image Text:Independent random samples from approximately normal populations produced the results shown below. Complete parts a and b. Full data setO Sample 1 39 Sample 2 50 45 29 58 30 42 62 51 58 45 30 35 56 57 28 36 34 45 70 a. Do the data present sufficient evidence to conclude that H-H2 *0? Use a = 0.05. Let u, be the mean of population 1 and p2 be the mean of population 2. Select the correct hypotheses below. O A. Ho: H1 -H2 = 0, H H -H2 #0 O B. Ho: H -H2 = 0, H: H1 - H2>0 OC. Ho: H1 -H2 = 0, H: H - H2 <0
Now find the test statistic.
t3D
(Round to two decimal places as needed.)
Find the p-value.
p-value D
Round to two decimal places as needed.)
Choose the correct conclusion below.
O A. Reject Ho. There is sufficient evidence that the means differ.
B. Reject Ho: There is insufficient evidence that the means differ.
OC. Do not reject Ho. There is insufficient evidence that the means differ.
O D. Do not reject Ho. There is sufficient evidence that the means differ.
b. Construct a 90% confidence interval for (H1 - H2).
The confidence interval is ( D-
(Round to three decimal places as needed.)
Transcribed Image Text:Now find the test statistic. t3D (Round to two decimal places as needed.) Find the p-value. p-value D Round to two decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho. There is sufficient evidence that the means differ. B. Reject Ho: There is insufficient evidence that the means differ. OC. Do not reject Ho. There is insufficient evidence that the means differ. O D. Do not reject Ho. There is sufficient evidence that the means differ. b. Construct a 90% confidence interval for (H1 - H2). The confidence interval is ( D- (Round to three decimal places as needed.)
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