Hypothesis Test for a Population Mean (o is Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho:µ = 79.4 Ha:u # 79.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 62 with mean M = 83.7 and a standard deviation of SD = 13.6. 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 = The p-value is... 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... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.4. O The sample data support the claim that the population mean is not equal to 79.4. There is not sufficient sample evidence to support the claim that the population mean is not equal to 79.4.

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Hypothesis Test for a Population Mean (o is Unknown)
You wish to test the following claim (Ha) at a significance
level of a = 0.10.
H,:µ = 79.4
Ha:µ + 79.4
You believe the population is normally distributed, but you
do not know the standard deviation. You obtain a sample of
size n = 62 with mean M = 83.7 and a standard
deviation of SD = 13.6.
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 =
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 population mean is not equal to
79.4.
There is not sufficient evidence to warrant
rejection of the claim that the population mean is
not equal to 79.4.
The sample data support the claim that the
population mean is not equal to 79.4.
O There is not sufficient sample evidence to support
the claim that the population mean is not equal to
79.4.
Transcribed Image Text:Hypothesis Test for a Population Mean (o is Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.10. H,:µ = 79.4 Ha:µ + 79.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 62 with mean M = 83.7 and a standard deviation of SD = 13.6. 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 = 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 population mean is not equal to 79.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.4. The sample data support the claim that the population mean is not equal to 79.4. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 79.4.
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