Question

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

      Ho:μ=64.4Ho:μ=64.4
      Ha:μ>64.4Ha:μ>64.4

You believe the population is normally distributed and you know the standard deviation is σ=20.5σ=20.5. You obtain a sample mean of M=70.7M=70.7 for a sample of size n=52n=52.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to what?

• reject the null?
• accept the null?
• fail to reject the null?

As such, the final conclusion is that...

A.) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.4.

B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.4.

C.) The sample data support the claim that the population mean is greater than 64.4.

D.) There is not sufficient sample evidence to support the claim that the population mean is greater than 64.4.

Answer 1

Test statistic

                    

                     = 2.216

p-value = P(Z > 2.216) = 0.0133

The p-value is greater than alpha.

This test statistic leads to a decisonto fail to reject the null.

Option-D) There is not sufficient sample evidence to support the claim that the population mean is greater than 64.4.