Question

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.

      Ho:μ=88.9
      Ha:μ>88.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=79 with mean M=91.5 and a standard deviation of SD=16.3

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... (choose one)

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

This test statistic leads to a decision to...(choose one)

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

As such, the final conclusion is that...(choose one)

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 88.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 88.9.
• The sample data support the claim that the population mean is greater than 88.9.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 88.9.

Answer 1