Question

# You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ=57.9Ho:μ=57.9       Ha:μ>57.9Ha:μ>57.9...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.

Ho:μ=57.9Ho:μ=57.9
Ha:μ>57.9Ha:μ>57.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=52n=52 with a mean of M=60.1M=60.1 and a standard deviation of SD=10.7SD=10.7.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

The test statistic is...

• in the critical region
• not in the critical region

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 57.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 57.9.
• The sample data support the claim that the population mean is greater than 57.9.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 57.9.

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