Question

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

      Ho:μ=81.4Ho:μ=81.4
      Ha:μ≠81.4Ha:μ≠81.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=8n=8 with mean M=84.1M=84.1 and a standard deviation of SD=7.7SD=7.7.

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 81.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.4.
• The sample data support the claim that the population mean is not equal to 81.4.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 81.4.

Answer 1

Solution: Here concept of one-sample t-test is used.