Question

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

      Ho:μ=76.3Ho:μ=76.3
      Ha:μ<76.3Ha:μ<76.3

You believe the population is normally distributed and you know the standard deviation is σ=7.4σ=7.4. You obtain a sample mean of M=73.6M=73.6 for a sample of size n=15n=15.

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 less than 76.3.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 76.3.
• The sample data support the claim that the population mean is less than 76.3.
• There is not sufficient sample evidence to support the claim that the population mean is less than 76.3.

Answer 1