Weatherwise is a magamme published by the American Meteorological Society. One issue gives a rating system used to classify Nereaster 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 share Suppose that a Noraster as in progress at the severe storm class rating, Peak wave heights i unuly measured from land (using binoculars) off faed cement piers. Suppose that a reading of 33 waves showed an average wave height of 17.3 feet. Previous studies of severe storms indicate that -3.5 feet. Does this information suggest that the storms (perhaps temporary) increasing above the severe rating? Une -0.01 () What is the level of significance State the null and alternate hypotheses 0164 ₁16.48 OM 164₂-164 OM-164 M₂R>16.40 OM-16.4 M₂: 16.4 OM-16.4 M₁16.48 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution O The Student's , since the sample size is large and e is unknown O The standard normal, since the sample size is large and is known O The standard normal, since the sample size is large and is unknown O The Student'st, since the sample size is large and e is known Compute the appropriate sampling distribution value of the sample test stastic (Round your answer to two decimal places) (c) Estimate the value Olue 0.250 O 0.100value 0.250 O 0.050 Palue 0.100 O 0.010 OP value < 0.050 0.010 Sketch the sampling stribution and show the area corresponding ^ -2 -1 D 1 0-3 -2 -1 0 1 2 2 3
Weatherwise is a magamme published by the American Meteorological Society. One issue gives a rating system used to classify Nereaster 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 share Suppose that a Noraster as in progress at the severe storm class rating, Peak wave heights i unuly measured from land (using binoculars) off faed cement piers. Suppose that a reading of 33 waves showed an average wave height of 17.3 feet. Previous studies of severe storms indicate that -3.5 feet. Does this information suggest that the storms (perhaps temporary) increasing above the severe rating? Une -0.01 () What is the level of significance State the null and alternate hypotheses 0164 ₁16.48 OM 164₂-164 OM-164 M₂R>16.40 OM-16.4 M₂: 16.4 OM-16.4 M₁16.48 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution O The Student's , since the sample size is large and e is unknown O The standard normal, since the sample size is large and is known O The standard normal, since the sample size is large and is unknown O The Student'st, since the sample size is large and e is known Compute the appropriate sampling distribution value of the sample test stastic (Round your answer to two decimal places) (c) Estimate the value Olue 0.250 O 0.100value 0.250 O 0.050 Palue 0.100 O 0.010 OP value < 0.050 0.010 Sketch the sampling stribution and show the area corresponding ^ -2 -1 D 1 0-3 -2 -1 0 1 2 2 3
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Question
Transcribed Image Text:State the null and alternate hypotheses
OM 16.4 R ₁-16.4
OM: 16.4 ; M₁: -16.4
OMR-16.4; H₁
> 16.4R
< 16.4 R
16.4
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nereaster 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 share. 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 33 waves showed an average wave height ofx-17.3 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 a -0.01.
(a) What is the level of significance?
O Ho -16.4 Pt; M₂:
OH-16.4 ; M₁
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution
O The Student's f, since the sample size is large and a is unknown
O The standard normal, since the sample size is large and e is known.
O The standard normal, since the sample size is large and a is unknown.
O The Student's t, since the sample size is large and is known
Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places)
(c) Estimate the P-value
OP-value> 0.250
O 0.100 < P-value < 0.250
O 0.050 P-value 0.100
O 0.010 P-value 0.050
OP-value < 0.010
Sketch the sampling distribution and show the area corresponding to the P-value.
0-3
01
-2 -10
0-3
o
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
At the
0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
At the
0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the
0.01 level, we fail to reject the nut hypothesis and conclude the data are statistically significant.
At the
0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant
-2 -1 .
1
TROTES
(e) Interpret your conclusion in the context of the application
O There is sufficient evidence at the 0.01 level to conclude that the storm is increasing above the severe rating
O There is insufficient evidence at the 0.01 level to conclude that the storm is increasing above the severe rating
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Step 1: Define the formula of the test statistic
VIEWStep 2: Determine the level of significance and state the hypotheses
VIEWStep 3: Determine the type of sampling distribution used and obtain the test statistic
VIEWStep 4: Obtain the P-value and sketch the graph of sampling distribution.
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