You wish to test the following claim (H1H1) at a significance
level of α=0.01α=0.01.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=740n=740 with mean M=66.1M=66.1 and a standard deviation of SD=17.1SD=17.1.
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.)
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
The statistical software output for this problem is:
Test statistic = 1.591
P - value = 0.056
P - value is greater than α
This test statistic leads to a decision to fail to reject the null
Final conclusion: There is not sufficient sample evidence to support the claim that the population mean is greater than 65.1.
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