Question

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

      Ho:μ=54.3Ho:μ=54.3
      Ha:μ>54.3Ha:μ>54.3

You believe the population is normally distributed. You obtain a sample mean of 54.9 and a sample standard deviation of 8.2 for a sample of size 72.

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 hypothesis
• fail to reject the null hypothesis

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.3.
• The sample data support the claim that the population mean is greater than 54.3.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 54.3.

Answer 1

The statistical software output for this problem is :

Test statistics = 0.6209

P-value = 0.2683

The p-value is greater than α .

fail to reject the null hypothesis .

There is not sufficient sample evidence to support the claim that the population mean is greater than 54.3.