Question

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

      Ho:μ=88.2Ho:μ=88.2
      Ha:μ>88.2Ha:μ>88.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=27n=27 with mean M=92.6M=92.6 and a standard deviation of SD=7.4SD=7.4.

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 greater than 88.2.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 88.2.
• The sample data support the claim that the population mean is greater than 88.2.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 88.2.

Answer 1

given data are:-

hypothesis:-

the test statistic be:-

df = (n-1) = (27-1) = 26

the p value is :-

[ in any blank cell of excel type =T.DIST.RT(3.0896,26) ]

The p-value is: less than (or equal to) α

[ p value = 0.0024 < 0.10 (Alpha) ]

This p-value leads to a decision to: reject the null.

As such, the final conclusion is that:-

The sample data support the claim that the population mean is greater than 88.2

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