Question

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

      Ho:μ=85.4Ho:μ=85.4
      Ha:μ>85.4Ha:μ>85.4

You believe the population is normally distributed and you know the standard deviation is σ=14.2σ=14.2. You obtain a sample mean of M=88.2M=88.2 for a sample of size n=64n=64.

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 85.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.4.
• The sample data support the claim that the population mean is greater than 85.4.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 85.4.

Answer 1

This hypothesis test is a one tailed test .

Test statistic = z

= ( - ) /    / n

= (88.2 - 85.4) / 14.2 / 64

= 1.577

Test statistic = 1.577

Critical value = 1.645

The test statistic is not in the critical region

fail to reject the null

There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.4.

answered by: anonymous