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 or getting worse. 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

Answer 1

,Alternate hypothesis :
`H_a:\mu \\eq 16.4`

Explanation:

Given : A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.

To Find : What would you use for the alternate hypothesis

Solution:

We are given that A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.

Now to check the average wave height is different (either up or down) from the severe storm class rating.

We need to set up the hypothesis

Null hypothesis:
`H_0:\mu = 16.4`

So, Alternate hypothesis :
`H_a:\mu \\eq 16.4`

Hence we use the alternative hypothesis that the the average wave height is not 16.4 feet.