Question

# You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.       Ho:μ=89.5Ho:μ=89.5       H1:μ>89.5H1:μ>89.5...

You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.

Ho:μ=89.5Ho:μ=89.5
H1:μ>89.5H1:μ>89.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=61n=61 with mean M=92.6M=92.6 and a standard deviation of SD=12.3SD=12.3.

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 greater than 89.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 89.5.
• The sample data support the claim that the population mean is greater than 89.5.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 89.5.  