Question

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. The next 10 waves have an average wave height is 16 feet with a SD of 0.6 ft. Suppose that you do not know if the storm is getting worse or dying out. You just want to test the hypothesis that the average wave height is different (either up or down) from the severe storm class rating. What would you use for the alternate hypothesis?

a. H1:μ is the P-value area on the left, right, or on both sides of the mean.
b. H1:μ is less than 16.4 feet; the P-value area is on the right of the mean.
c. H1:μ is not equal to 16.4 feet; the P-value area is on the right of the mean.
d.H1:μ is not equal to 16.4 feet; the P-value area is on the left of the mean.
e. H1:μ is not equal to 16.4 feet; the P-value area is on the both sides of the mean.
f. H1:μ is greater than 16.4 feet; the P-value area is on both sides of the mean

Answer 1

Option e

Explanation:

The type of test for this sticky is a two tailed test: (either up or down) from the severe storm class rating.

Thus, the null hypothesis would be that u is equal to 16.4 feet while the alternative hypothesis would be that u is not equal to 16.4 feet; and the p value area is on both sides of the mean since it is a two tailed test.