Question

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.

      Ho:μ=77.9Ho:μ=77.9
      Ha:μ≠77.9Ha:μ≠77.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17n=17 with mean M=81.7M=81.7 and a standard deviation of SD=19.8SD=19.8.

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 p-value 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 77.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.9.
• The sample data support the claim that the population mean is not equal to 77.9.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 77.9.

Answer 1

Solution :

= 77.9

M =81.7

S =19.8

n = 17

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 77.9

Ha :     77.9

Test statistic = t

= (M - ) / S / n

= (81.7-77.9) / 19.8 / 17

= 0.791

Test statistic = t =0.791

P-value =0.4403

= 0.02

P-value ≥

0.4403  ≥ 0.02

fail to reject the null hypothesis .

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 77.9