Question

You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.

      Ho:μ=74.4Ho:μ=74.4
      H1:μ≠74.4H1:μ≠74.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=273n=273 with a mean of M=77.4M=77.4 and a standard deviation of SD=16.7SD=16.7.

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 not equal to 74.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 74.4.
• The sample data support the claim that the population mean is not equal to 74.4.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 74.4.

Answer 1

The test statistic is in the critical region

This test statistic leads to a decision 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 74.4.