Question

# You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=71.9Ho:μ=71.9       Ha:μ≠71.9Ha:μ≠71.9...

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

Ho:μ=71.9Ho:μ=71.9
Ha:μ≠71.9Ha:μ≠71.9

You believe the population is normally distributed and you know the standard deviation is σ=9.3σ=9.3. You obtain a sample mean of M=74.5M=74.5 for a sample of size n=33n=33.

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 not equal to 71.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.9.
• The sample data support the claim that the population mean is not equal to 71.9.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.9.

critical value = ± 1.645

test statistic =1.606

The test statistic is not in the critical region

This test statistic leads to a decision to fail to reject the null

As such, the final conclusion is that : There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.9.

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