Question

# You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ=65.2Ho:μ=65.2...

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

Ho:μ=65.2Ho:μ=65.2
Ha:μ≠65.2Ha:μ≠65.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
14.6
36.1
13.5

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 not equal to 65.2.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 65.2.
• The sample data support the claim that the population mean is not equal to 65.2.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 65.2.  Thank You ?