You wish to test the following claim ( H a Ha ) at a
significance level of α = 0.02 α=0.02 .
H o : μ = 65.7 Ho:μ=65.7
H a : μ > 65.7 Ha:μ>65.7 You
believe the population is normally distributed and you know the
standard deviation is σ = 13.3 σ=13.3 . You obtain a sample mean of
M = 72.2 M=72.2 for a sample of size n = 38 n=38 .
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…
a. There is sufficient evidence to warrant rejection of the
claim that the population mean is greater than 65.7.
B. There is not sufficient evidence to warrant rejection of the
claim that the population mean is greater than 65.7.
C. The sample data support the claim that the population mean is
greater than 65.7.
D. There is not sufficient sample evidence to support the claim
that the population mean is greater than 65.7.
