Question

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=77.7Ho:μ=77.7
      Ha:μ<77.7Ha:μ<77.7

You believe the population is normally distributed and you know the standard deviation is σ=16.5σ=16.5. You obtain a sample mean of M=74.8M=74.8 for a sample of size n=72n=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
• 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 77.7.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7.
• The sample data support the claim that the population mean is less than 77.7.
• There is not sufficient sample evidence to support the claim that the population mean is less than 77.7.

Answer 1

Correct option:

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7.