You wish to test the following claim (H) at a significance level of a = 0.10. H.:µ = 65.5 Ha:µ > 65.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 296 with mean M = 68.2 and a standard deviation of SD = 12.8. 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 greater than a 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 greater than 65.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.5. The sample data support the claim that the population mean is greater than 65.5. There is not sufficient sample evidence to support the claim that the population mean is greater than 65.5.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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You wish to test the following claim (Ha) at a significance level of a = 0.10.
H.: µ = 65.5
H:µ > 65.5
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a
sample of sizen
296 with mean M =
68.2 and a standard deviation of SD = 12.8.
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
greater than a
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 greater than
65.5.
O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater
than 65.5.
The sample data support the claim that the population mean is greater than 65.5.
O There is not sufficient sample evidence to support the claim that the population mean is greater than
65.5.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: µ = 65.5 H:µ > 65.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen 296 with mean M = 68.2 and a standard deviation of SD = 12.8. 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 greater than a 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 greater than 65.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.5. The sample data support the claim that the population mean is greater than 65.5. O There is not sufficient sample evidence to support the claim that the population mean is greater than 65.5.
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