State the null and alternate hypotheses. Ho: H< 16.4 ft; H:- 16.4t Họ: H- 16.4 t; Hạ: > 16.4 t Họ: H- 16.4 t; H< 16.4 ft Họ: H- 16.4 t; H: 16.4 Ho: H> 16.4 t; Hạ: - 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and e is unknown. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and a is known. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Estimate the Pvalue. Pvalue > 0.25o 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 Pvalue < 0.010 Sketch the sampling distribution and show the area corresponding to the Pvalue. (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 a-0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a- 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a-0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a- 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
State the null and alternate hypotheses. Ho: H< 16.4 ft; H:- 16.4t Họ: H- 16.4 t; Hạ: > 16.4 t Họ: H- 16.4 t; H< 16.4 ft Họ: H- 16.4 t; H: 16.4 Ho: H> 16.4 t; Hạ: - 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and e is unknown. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and a is known. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Estimate the Pvalue. Pvalue > 0.25o 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 Pvalue < 0.010 Sketch the sampling distribution and show the area corresponding to the Pvalue. (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 a-0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a- 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a-0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a- 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Question
Transcribed Image Text:**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 μ = 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 31 waves showed an average wave height of x̄ = 16.7 feet. Previous studies of severe storms indicate that σ = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use α = 0.01.
**(a) What is the level of significance?**
State the null and alternate hypotheses.
- H₀: μ = 16.4 ft; H₁: μ ≠ 16.4 ft
- H₀: μ ≤ 16.4 ft; H₁: μ > 16.4 ft
- H₀: μ = 16.4 ft; H₁: μ > 16.4 ft
- H₀: μ ≥ 16.4 ft; H₁: μ = 16.4 ft
- H₀: μ = 16.4 ft; H₁: μ = 16.4 ft
**(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.**
- The Student's t, since the sample size is large and σ is unknown.
- The standard normal, since the sample size is large and σ is unknown.
- The Student's t, since the sample size is large and σ is known.
- The standard normal, since the sample size is large and σ is known.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
**(c) Estimate the P-value.**
- P-value > 0.250
- 0.100 < P-value < 0.250
- 0.050 < P-value < 0.100
- 0.010 < P-value < 0.050
- P-value < 0.010
Sketch the sampling distribution and show the area corresponding to the P-value
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman