You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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 P-value reported from the "2-sample t- test" 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 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 not equal to the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O The sample data support the claim that the first population mean is not equal to the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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 P-value reported from the "2-sample t- test" 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 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 not equal to the second population mean. O There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. O The sample data support the claim that the first population mean is not equal to the second population mean. O There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.
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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Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.001.
H.:µ1 = µ2
Ha:µ1 # µ2
You believe both populations are normally distributed, but you do not know the standard deviations for
either. However, you also have no reason to believe the variances of the two populations are not equal (So
use the "pool" option). You obtain the following two samples of data.
Sample #1
Sample #2
86.4
60.5
63.3
93.5
94.6
61.1
99.2
55.9
85.8
107
88.9
68.8
88.3
61.9
78.8
59.2
103.8
99.7
74.3
72.5
76.5
62
70.5
80.7
80.2
59.2
64.3
107
89.3
113.2
48.5
95.2
72.1
76.1
115.5
75.1
97.6
88.4
96.4
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 P-value reported from the "2-sample t-
test" 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
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 not
equal to the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population mean is
not equal to the second population mean.
O The sample data support the claim that the first population mean is not equal to the second
population mean.
O There is not sufficient sample evidence to support the claim that the first population mean is not
equal to the second population mean.
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