Question

You wish to test the following claim (Ha) at a significance level of α=0.005.

      Ho:μ=87.1
      Ha:μ≠87.1
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=642 with mean M=88.5 and a standard deviation of SD=13.1.

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...

• 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 87.1.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.1.
• The sample data support the claim that the population mean is not equal to 87.1.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 87.1.

Answer 1

The statistical software output for this problem is :

Test statistics = 2.708

P-value = 0.007

Fail to reject the null hypothesis

The p-value is greater than α .

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.1.