You wish to test the following claim (Ha) at a significance level of a = 0.02. = 52.4 Η :μ Ha: μ # 52.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 68.5 51.2 63 67.7 62.3 71.6 41.5 77.8 67 50.2 61.6 65.1 77.1 39.4 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic 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 claim that the population mean is not equal to 52.4. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 524

MATLAB: An Introduction with Applications
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You wish to test the following claim (H) at a significance level of a = 0.02.
H₂:μ
52.4
Ha: #52.4
You believe the population is normally distributed, but you do not know the standard deviation. You
obtain the following sample of data:
data
68.5
51.2
63
67.7
62.3
71.6
41.5
77.8
67
50.2
61.6
65.1
77.1
39.4
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
The test statistic is...
O in the critical region
not in the critical region
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 population mean is not
equal to 52.4.
O There is not sufficient evidence to warrant rejection of the claim that the population mean is
not equal to 52 4
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.02. H₂:μ 52.4 Ha: #52.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 68.5 51.2 63 67.7 62.3 71.6 41.5 77.8 67 50.2 61.6 65.1 77.1 39.4 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region not in the critical region 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 population mean is not equal to 52.4. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 52 4
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