You wish to test the following claim (H.) at a significance level of a = 0.05. H.: µ = 72.5 Ha:H # 72.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 14 with mean M = 81.7 and a %3D standard deviation of SD = 15.6. 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? (Report answer accurate to four decimal places.) p-value =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You wish to test the following claim (H.) at
a significance level of a = 0.05.
Н.: и — 72.5
Ha:u + 72.5
а
You believe the population is normally
distributed, but you do not know the
standard deviation. You obtain a sample of
size n = 14 with mean M
= 81.7 and a
standard deviation of SD = 15.6.
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? (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 = 0.05. Н.: и — 72.5 Ha:u + 72.5 а You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 14 with mean M = 81.7 and a standard deviation of SD = 15.6. 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? (Report answer accurate to four decimal places.) p-value %|
This test statistic leads to a decision to...
reject the null
|accept the null
| fail to reject the null
As such, the final conclusion is that...
| There is sufficient evidence to
warrant rejection of the claim that the
population mean is not equal to 72.5.
| There is not sufficient evidence to
warrant rejection of the claim that the
population mean is not equal to 72.5.
| The sample data support the claim
that the population mean is not equal
to 72.5.
There is not sufficient sample
evidence to support the claim that the
population mean is not equal to 72.5.
Transcribed Image Text:This test statistic leads to a decision to... reject the null |accept the null | fail to reject the null As such, the final conclusion is that... | There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 72.5. | There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 72.5. | The sample data support the claim that the population mean is not equal to 72.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to 72.5.
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