Question

You wish to test the following claim (H1H1) at a significance level of α=0.002α=0.002.

      Ho:μ=89.3Ho:μ=89.3
      H1:μ≠89.3H1:μ≠89.3

You believe the population is normally distributed and you know the standard deviation is σ=13.2σ=13.2. You obtain a sample mean of ¯x=94x¯=94 for a sample of size n=75n=75.

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 89.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.3.
• The sample data support the claim that the population mean is not equal to 89.3.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.3.

Answer 1