You wish to test the following claim (Hₐ) at a significance level of α=0.02.
H₀: μ=62.2
Hₐ: μ≠62.2
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 91 with mean M = 58.8 and a standard deviation of SD = 12.1.
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) α
- 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 not equal to 62.2.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 62.2.
- The sample data support the claim that the population mean is not equal to 62.2.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 62.2.