Weatherwise is a magazine published by the American Meteorological Society. One
ID: 3376716 • Letter: W
Question
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 17.1 feet. Previous studies of severe storms indicate that = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use = 0.01.
(a) What is the level of significance?
I would say it's 0.01
(b)What is the value of the sample test statistic? (Round your answer to two decimal places.)
How do I calculate this?
(c) Find the P-value. (Round your answer to four decimal places.)
I don't understand how to find the p-value.
Explanation / Answer
a)
Yes, it is 0.01, as given. [answer]
**************
b)
Formulating the null and alternative hypotheses,
Ho: u <= 16.4
Ha: u > 16.4
As we can see, this is a right tailed test.
Getting the test statistic, as
X = sample mean = 17.1
uo = hypothesized mean = 16.4
n = sample size = 40
s = standard deviation = 3.5
Thus, z = (X - uo) * sqrt(n) / s = 1.264911064 [ANSWER]
****************************
Also, the p value is, getting the right tailed area of the z score above using table/technology,
p = 0.102951605 [ANSWER]
*************************
[You can use a technology like Excel or a ti-84 calculator to get the right tailed area of a z score. That is the P value here.]
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.