Question

You wish to test the following claim (Ha) at a significance level of α=0.002α=0.002.

      Ho:μ=57.9
      Ha:μ<57.9

You believe the population is normally distributed and you know the standard deviation is σ=12.7σ=12.7. You obtain a sample mean of M=54.2M=54.2 for a sample of size n=69n=69.

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

Answer 1

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