A simple random sample of size n=40 is drawn from a population. The sample mean is found to be 107.6​, and the sample standard deviation is found to be 20.2.
Is the population mean greater than 100 at the α=0.025 level of​ significance?

-Determine the null and alternative hypotheses.
H0​:
Choices:
mu equals 100μ=100
mu less than 100μ<100
mu equals 100μ=100
mu greater than 100μ>100
mu less than 107.6μ<107.6
mu equals 107.6μ=107.6
mu greater than 107.6μ>107.6
H1​:
Choices:
mu greater than 100μ>100
mu less than 100μ<100
mu equals 100μ=100
mu greater than 100μ>100
mu less than 107.6μ<107.6
mu equals 107.6μ=107.6
mu greater than 107.6μ>107.6

-Compute the test statistic.
Choices:
t 0t0
t 0t0
z 0z0
=

-Determine the​ P-value.
The​ P-value is

-What is the result of the hypothesis​ test?
the null hypothesis because the​ P-value is the level of significance. At the α=0.025 level of​ significance, the population mean (is or is not)(greater than 100, less than 100 etc.)