You obtain the following two samples of data. Sample #1 Sample #2 89.5 80.8 76.4 84.5 111.2 93.5 85.7 71.1 86 82.7 84.6 75.1 86.7 69 95.2 86.7 92.3 89.1 76.4 75.6 78.3 63.2 83.6 66.7 79.4 85.8 73.6 79.9 78.3 69 95.7 117.9 83.2 80.5 75.6 85 87.2 57.5 74.9 97.5 74 80.9 83.6 77.8 89.3 84.2 79.4 90.8 89.9 79.4 88.4 81.1 109.2 96.9 98.1 90.3 71.5 85.8 84.5 82.8 75.5 77.8 106.5 82.1 82.8 94.9 76.6 83.3 128.1 101.3 114.9 110.2 88.4 80 80.5 104.1 124.6 80 82.6 83.6 91.9 113.6 50.5 89.8 58.8 117.9 69 77.2 84.2 75.5 68.3 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 = The p-value is...
You obtain the following two samples of data. Sample #1 Sample #2 89.5 80.8 76.4 84.5 111.2 93.5 85.7 71.1 86 82.7 84.6 75.1 86.7 69 95.2 86.7 92.3 89.1 76.4 75.6 78.3 63.2 83.6 66.7 79.4 85.8 73.6 79.9 78.3 69 95.7 117.9 83.2 80.5 75.6 85 87.2 57.5 74.9 97.5 74 80.9 83.6 77.8 89.3 84.2 79.4 90.8 89.9 79.4 88.4 81.1 109.2 96.9 98.1 90.3 71.5 85.8 84.5 82.8 75.5 77.8 106.5 82.1 82.8 94.9 76.6 83.3 128.1 101.3 114.9 110.2 88.4 80 80.5 104.1 124.6 80 82.6 83.6 91.9 113.6 50.5 89.8 58.8 117.9 69 77.2 84.2 75.5 68.3 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 = The p-value is...
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
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a
0.005.
H.:µ1 = 42
Ha:µ1 < H2
You obtain the following two samples of data.
Sample #1
Sample #2
89.5
80.8
76.4
84.5
111.2
93.5
85.7
71.1
86
82.7
84.6
75.1
86.7
69
95.2
86.7
92.3
89.1
76.4
75.6
78.3
63.2
83.6
66.7
79.4
85.8
73.6
79.9
78.3
69
95.7
117.9
83.2
80.5
75.6
85
87.2
57.5
74.9
97.5
74
80.9
83.6
77.8
89.3
84.2
79.4
90.8
89.9
79.4
88.4
81.1
109.2
96.9
98.1
90.3
71.5
85.8
84.5
82.8
75.5
77.8
106.5
82.1
82.8
94.9
76.6
83.3
128.1
101.3
114.9
110.2
88.4
80
80.5
104.1
124.6
80
82.6
83.6
91.9
113.6
50.5
89.8
58.8
117.9
69
77.2
84.2
75.5
68.3
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 =
The p-value is...
Transcribed Image Text: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 =
The p-value is...
O less than (or equal to) a
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population mean is less
than the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population mean is
less than the second population mean.
O The sample data support the claim that the first population mean is less than the second population
mean.
O There is not sufficient sample evidence to support the claim that the first population mean is less
than the second population mean.
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