78.2 73 70.5 47 67.1 52 57.6 63.6 59.6 65.7 57 57.6 67.3 53.1 55.2 68.6 76.4 69.6 65.9 65 69.6 55.2 74.1 67.3 67.3 48.2 76.4 79.8 69.1 58.2 73.4 61.7 65.2 68.8 69.6 78.2 57.6 59.1 66.4 66.1 59.6 61.4 53.6 48.2 71.4 63.1 72 69.1 59.1 62.1 49.2 49.2 68.8 71.1 64 50.8 57.6 53.6 80.8 74.5 What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic - What is the p-value for this sample? (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 p-value 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 daim that the population mean is not equal to 68.7. O There is not sufficient evidence to warrant rejection of the daim that the population mean is not equal to 68.7. O The sample data support the daim that the population mean is not equal to 68.7. O There is not sufficient sample evidence to support the daim that the population mean is not equal to 68.7.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question 31
You wish to test the following claim (H1) at a significance level of a = 0.001.
H.:u = 68.7
H:p + 68.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain
the following sample of data:
78.2
73
70.5
47
67.1
52
57.6
63.6
59.6
65.7
57
57.6
67.3
53.1
55.2
68.6
76.4
69.6
65.9
65
69.6
55.2
74.1
67.3
67.3
48.2
76.4
79.8
69.1
58.2
73.4
61.7
65.2
68.8
69.6
78.2
57.6
59.1
66.4
66.1
59.6
61.4
53.6
48.2
71.4
63.1
72
69.1
59.1
62.1
49.2
49.2
68.8
71.1
64
50.8
57.6
53.6
80.8
74.5
What is the test statistic for this sample? (Report answer accurate to four decimal places.)
test statistic -
What is the p-value for this sample? (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 p-value leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
Transcribed Image Text:Question 31 You wish to test the following claim (H1) at a significance level of a = 0.001. H.:u = 68.7 H:p + 68.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 78.2 73 70.5 47 67.1 52 57.6 63.6 59.6 65.7 57 57.6 67.3 53.1 55.2 68.6 76.4 69.6 65.9 65 69.6 55.2 74.1 67.3 67.3 48.2 76.4 79.8 69.1 58.2 73.4 61.7 65.2 68.8 69.6 78.2 57.6 59.1 66.4 66.1 59.6 61.4 53.6 48.2 71.4 63.1 72 69.1 59.1 62.1 49.2 49.2 68.8 71.1 64 50.8 57.6 53.6 80.8 74.5 What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic - What is the p-value for this sample? (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 p-value leads to a decision to... O reject the null O accept the null O fail to reject the null
78.2
73
70.5
47
67.1
52
57.6
63.6
59.6
65.7
57
57.6
67.3
53.1
55.2
68.6
76.4
69.6
65.9
65
69.6
55.2
74.1
67.3
67.3
48.2
76.4
79.8
69.1
58.2
73.4
61.7
65.2
68.8
69.6
78.2
57.6
59.1
66.4
66.1
59.6
61.4
53.6
48.2
71.4
63.1
72
69.1
59.1
62.1
49.2
49.2
68.8
71.1
64
50.8
57.6
53.6
80.8
74.5
What is the test statistic for this sample? (Report answer accurate to four decimal places.)
test statistic
What is the p-value for this sample? (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 p-value leads to a decision to...
O reject the null
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 daim that the population mean is not equal
to 68.7.
O There is not sufficient evidence to warrant rejection of the daim that the population mean is not
equal to 68.7.
O The sample data support the daim that the population mean is not equal to 68.7.
O There is not sufficient sample evidence to support the daim that the population mean is not equal
to 68.7.
Transcribed Image Text:78.2 73 70.5 47 67.1 52 57.6 63.6 59.6 65.7 57 57.6 67.3 53.1 55.2 68.6 76.4 69.6 65.9 65 69.6 55.2 74.1 67.3 67.3 48.2 76.4 79.8 69.1 58.2 73.4 61.7 65.2 68.8 69.6 78.2 57.6 59.1 66.4 66.1 59.6 61.4 53.6 48.2 71.4 63.1 72 69.1 59.1 62.1 49.2 49.2 68.8 71.1 64 50.8 57.6 53.6 80.8 74.5 What is the test statistic for this sample? (Report answer accurate to four decimal places.) test statistic What is the p-value for this sample? (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 p-value leads to a decision to... O reject the null 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 daim that the population mean is not equal to 68.7. O There is not sufficient evidence to warrant rejection of the daim that the population mean is not equal to 68.7. O The sample data support the daim that the population mean is not equal to 68.7. O There is not sufficient sample evidence to support the daim that the population mean is not equal to 68.7.
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