The null and alternative hypotheses of a t test for the mean are given as follows: H0: μ ≥ $344 and H1: μ < $344. Other things held the same, which of the following will result in an increase in the p-value?
[I] Increase in the sample size
[II] Decrease in the sample size
[III] Increase in the sample standard deviation
[IV] Increase in the level of significance.
a). I and III
b). I and III
c). II and III
d). I and IV
e). II and IV
Solution:
Its answer is C. I.e. II and III
As we will decrease the sample size than our test stat value decrease and as test stat value decrease than p-value increase.
Also as sample standard deviation increase than test stat value decrease and as test stat value decreases than p-value increase.
So its answer is C. I.e. II and III.
The null and alternative hypotheses of a t test for the mean are given as follows:...
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