Question

You wish to test the following claim (H1H1) at a significance level of α=0.01α=0.01.

      Ho:μ=65.1Ho:μ=65.1
      H1:μ>65.1H1:μ>65.1

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.)
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 65.1.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 65.1.
• The sample data support the claim that the population mean is greater than 65.1.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 65.1.

Answer 1

The statistical software output for this problem is:

Hence,

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.