Question

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

      Ho:μ=63.1Ho:μ=63.1
      Ha:μ>63.1Ha:μ>63.1

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=31n=31 with mean M=69.3M=69.3 and a standard deviation of SD=10.4SD=10.4.

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 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 greater than 63.1.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.1.
• The sample data support the claim that the population mean is greater than 63.1.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 63.1.

Answer 1

given data are:-

the test statistic for this sample is:-

df = (n-1) = (31-1) =30

the p-value for this sample:-

[ in any blank cell of excel type =T.DIST.RT(3.319,30) ]

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

[ p value = 0.0012 <0.05 (alpha)]

This test statistic 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 63.1.

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