Question

# You wish to test the following claim (Ha) at a significance level of α=0.02.       Ho:μ=81.8...

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

Ho:μ=81.8
Ha:μ≠81.8

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7 with mean M=77 and a standard deviation of SD=9.1.

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) α
• greater than α

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 81.8.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.8.
• The sample data support the claim that the population mean is not equal to 81.8.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 81.8.

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