Question

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.

      Ho:μ=54.5Ho:μ=54.5
      Ha:μ<54.5Ha:μ<54.5

You believe the population is normally distributed and you know the standard deviation is σ=5.5σ=5.5. You obtain a sample mean of M=53.5M=53.5 for a sample of size n=40n=40.

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 54.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.5.
• The sample data support the claim that the population mean is less than 54.5.
• There is not sufficient sample evidence to support the claim that the population mean is less than 54.5.

Answer 1