Question

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

      Ho:μ=82.8   
      Ha:μ≠82.8

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17 with mean M=77.9 and a standard deviation of SD=16.9.

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) α OR
• greater than α

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 82.8.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.
• The sample data support the claim that the population mean is not equal to 82.8.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 82.8.

Answer 1

Solution :

This is the two tailed test .

Test statistic = z

= ( - ) / / n

= (77.9 - 8.2.8) /16.9 / 17

= -1.195

df = 16

P-value = 0.2495

= 0.05

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 82.8.