A) To test the following hypothesis, a statistics practitioner randomly sampled 100 observations and found xbar=106 and s= 35. Calculate the test statistic (and for excel users, the p-value) of a test to determine whether there is enough evidence at the 1% significance level to infer that the alternative hypothesis is true.
H0 : µ = 100
H1 : µ > 100
b) Repeat part a with s= 25.
c) Repeat part a with s= 15
d) Describe what happens to the t-statistic (and for excel users the p-value) when the standard deviation decreases.
(a) SE = s/sqrt n = 35/sqrt 100 = 3.5
z = (x-bar - mu)/SE = (106 - 100)/3.5 = ...
Neat and step-wise solution is provided.