You wish to test the following claim (Ha) at a significance level of a = 0.005. H.:µ = 61.3 H:µ + 61.3 You believe the population is normally distributed and you know the standard deviation is o = 20.6 . You obtain a sample mean of M = 73.4 for a sample of size n = 21. 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 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 61.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 61.3. The sample data support the claim that the population mean is not equal to 61.3. There is not sufficient sample evidence to support the claim that the population mean is not equal to 61.3.

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You wish to test the following claim (H,) at a
significance level of a = 0.005.
H.:µ = 61.3
H:H # 61.3
You believe the population is normally distributed
and you know the standard deviation is o = 20.6
. You obtain a sample mean of M = 73.4 for a
sample of size n = 21.
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
Oaccept 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 61.3.
There is not sufficient evidence to warrant
rejection of the claim that the population
mean is not equal to 61.3.
The sample data support the claim that the
population mean is not equal to 61.3.
O There is not sufficient sample evidence to
support the claim that the population mean
is not equal to 61.3.
Transcribed Image Text:You wish to test the following claim (H,) at a significance level of a = 0.005. H.:µ = 61.3 H:H # 61.3 You believe the population is normally distributed and you know the standard deviation is o = 20.6 . You obtain a sample mean of M = 73.4 for a sample of size n = 21. 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 Oaccept 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 61.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 61.3. The sample data support the claim that the population mean is not equal to 61.3. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 61.3.
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Solution

Given 

μ=61.3 ,σ=20.6, Sample mean M=73.6 , sample size n= 21 and level of significance α=0.005

We are interested to test

H0:μ=61.3Ha:μ  61.3 

 

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