Question

# You wish to test the following claim (Ha) at a significance level of α=0.02α=0.02.       Ho:μ=82.8       Ha:μ≠82.8...

You wish to test the following claim (Ha) at a significance level of α=0.02α=0.02.

Ho:μ=82.8
Ha:μ≠82.8

You believe the population is normally distributed and you know the standard deviation is σ=12.7. You obtain a sample mean of M=76.1 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) αα
• greater than αα

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 82.8.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.
• The sample data support the claim that the population mean is not equal to 82.8.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 82.8.

The statistical software output for this problem is :

Test statistics = -2.418

P-value = 0.0156

The p-value is less than (or equal to) α

Reject the null hypothesis .

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.

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