You wish to test the following claim (H) at a significance level of a = 0.05. Ηο: μι = μ2 Ha:μι < με You obtain the following two samples of data. Sample #1 69.7 89.2 54.1 71.9 68.7 102.5 93.6 76.6 78.6 63.8 64.3 82.7 71.9 62.7 83.5 63.8 89.2 95.8 58.7 70.6 76.3 74.3 67.6 71.9 68.7 61.6 73.7 80.8 65.2 71.3 72.2 76.9 78 78 70 63.8 Sample #2 75.3 80.9 78.9 83.4 73.3 84.9 85.2 83 81.8 83.6 89 67.2 93.7 90.3 90.3 70.2 71.8 72.4 87.9 79.5 73.3 88.2 72.1 75.1 93.7 67.2 87.6 83.8 82 87 77.6 76.2 81.1 84.7 80.4 80.2 83.8 72.1 81.1 91.3 91.3 85.2 78.3 72.7 85.6 65 75.1 77 83.2 70.2 90.8 82.2 82.2 88.6 65 69.7 79.8 92.8 89.8 77.6 74.4 77.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim (H) at a significance level of a
=
Ho: M1 = μ2
Ha: ₁ < 2
You obtain the following two samples of data.
Sample #1
69.7 89.2 54.1 71.9
68.7 102.5 93.6 76.6
78.6 63.8 64.3 82.7
71.9 62.7 83.5 63.8
58.7 70.6 89.2 95.8
76.3 74.3 67.6
71.9
68.7
61.6 73.7
80.8
65.2
72.2 76.9
78
70 63.8
71.3
78
∞ ∞
=
Sample #2
77
75.3 80.9 78.9
83.4 73.3 84.9 83.2
81.8
85.2
83
70.2
83.6
67.2 90.8
93.7
90.3
90.3
82.2
70.2
71.8
72.4
82.2
87.9 79.5 73.3
88.6
88.2 72.1
75.1
65
93.7
67.2
83.8
69.7
87.6
82
87
79.8
77.6
76.2 81.1
92.8
84.7
80.4 80.2
89.8
83.8 72.1 81.1
77.6
91.3 91.3 85.2
74.4
72.7 85.6
77.2
78.3
65 75.1
∞ ∞
: 0.05.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic
What is the p-value for this sample? For this calculation, use the degrees of freedom reported
from the technology you are using. (Report answer accurate to four decimal places.)
p-value
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = Ho: M1 = μ2 Ha: ₁ < 2 You obtain the following two samples of data. Sample #1 69.7 89.2 54.1 71.9 68.7 102.5 93.6 76.6 78.6 63.8 64.3 82.7 71.9 62.7 83.5 63.8 58.7 70.6 89.2 95.8 76.3 74.3 67.6 71.9 68.7 61.6 73.7 80.8 65.2 72.2 76.9 78 70 63.8 71.3 78 ∞ ∞ = Sample #2 77 75.3 80.9 78.9 83.4 73.3 84.9 83.2 81.8 85.2 83 70.2 83.6 67.2 90.8 93.7 90.3 90.3 82.2 70.2 71.8 72.4 82.2 87.9 79.5 73.3 88.6 88.2 72.1 75.1 65 93.7 67.2 83.8 69.7 87.6 82 87 79.8 77.6 76.2 81.1 92.8 84.7 80.4 80.2 89.8 83.8 72.1 81.1 77.6 91.3 91.3 85.2 74.4 72.7 85.6 77.2 78.3 65 75.1 ∞ ∞ : 0.05. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value
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