Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classity Nor'easter storms that frequently he 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) oft fed cement piers. Suppose that a reading of 30 waves showed an average wave height of
x= 16 9 feet. Previous studies of severe storms indicate that - 3.5 feet. Does this information suggest that the storm is perhaps temporary) increasing above the severe rating? Use
-0.01.
(a) what is the level of significance?
0.01
State the null and alternate hypotheses
Hor - 15.4 ft. Hy: *.16.4
OM: -16.41t:
M16.4
O No: 16.4 : Mar 16:41
• My: 16.4 :> 16.40
OM: > 16.4 : M - 16.43
(5) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution
The Student's since the sample size is large and is unknown
The standard normal, since the sample size is large and is unknown.
The Student's t, since the sample size is large and or is known.
The standard normal, since the sample size is large and is known.
what is the value of the sample test statistic? (Round your answer to two decimal places)
(c) Estimate the value
O value > 0.250
• 0.100 < P-value < 0.250