Homework Help is Here – Start Your Trial Now!
Math
Statistics
g. What conditions must be satisfied for the test results to be valid?

g. What conditions must be satisfied for the test results to be valid?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

can you solve for g 

Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 ... a. Specify the null and alternative hypotheses for this test. Ο Α. H : μ= 95 B. H: μ= 95 %3D Ha: µ> 95 Ha: H< 95 D. Ho: μ= 95 Ha: H#95 C. Ha: µ= 95 b. Since x = 89.1 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? A. To reject the null hypothesis, the problem must specify the sample size. B. To reject the null hypothesis, the problem must specify the value of a and the probability that the test will lead to rejection and then consult the t or z table depending on the size of the sample. C. To reject the null hypothesis, the problem must specify the critical value of t. D. To reject the null hypothesis, the problem must specify the critical value of z. c. Compute the value of the test statistic. t= - 1.27 (Round to two decimal places as needed.) d. Find the approximate p-value of the test. p-value = 0.251 (Round to three decimal places as needed.) %3D e. Select a value of a, the probability of Type I error. Interpret this value in the words of the problem. A. There would still be sufficient evidence to reject the null hypothesis if a > 0.250. View an example Тextbook Statcrunch Clear all Final check
Transcribed Image Text:Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 ... a. Specify the null and alternative hypotheses for this test. Ο Α. H : μ= 95 B. H: μ= 95 %3D Ha: µ> 95 Ha: H< 95 D. Ho: μ= 95 Ha: H#95 C. Ha: µ= 95 b. Since x = 89.1 is less than 95, a fisherman wants to reject the null hypothesis. What are the problems with using such a decision rule? A. To reject the null hypothesis, the problem must specify the sample size. B. To reject the null hypothesis, the problem must specify the value of a and the probability that the test will lead to rejection and then consult the t or z table depending on the size of the sample. C. To reject the null hypothesis, the problem must specify the critical value of t. D. To reject the null hypothesis, the problem must specify the critical value of z. c. Compute the value of the test statistic. t= - 1.27 (Round to two decimal places as needed.) d. Find the approximate p-value of the test. p-value = 0.251 (Round to three decimal places as needed.) %3D e. Select a value of a, the probability of Type I error. Interpret this value in the words of the problem. A. There would still be sufficient evidence to reject the null hypothesis if a > 0.250. View an example Тextbook Statcrunch Clear all Final check
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 O O D. Tnere wouia stili be suTICient evidence to reject the nuii nypotnesis IT a > 0.001 Interpret this value in the words of the problem. A. A Type I error would be to conclude that the true mean of the trap spacing measurements is 89.1 when, in fact, the mean is equal to 95. B. A Type l error would be to conclude that the true mean of the trap spacing measurements is not 95 when, in fact, the mean is equal to 95. C. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is equal to 89.1. D. A Type l error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is not equal to 95. f. Give the appropriate conclusion, based on the results of parts d and e. Let a = 0.05. A. Fail to reject Ho. There is sufficient evidence to indicate + 95. B. Reject Ho: There is sufficient evidence to indicate u # 95. C. Fail to reject Ho. There is insufficient evidence to indicate u + 95. D. Reject Ho: There is insufficient evidence to indicateu # 95. g. What conditions must be satisfied for the test results to be valid? A. The conditions that must be satisfied are that a random sample is selected from the target sample and the selected sample has a distribution that is approximately normal. B. The conditions that must be satisfied are that a random sample is selected from the target population and the population from which the sample is selected has a distribution that is approximately normal. C. The conditions that must be satisfied are that a random sample is selected from the target population and the population from which the sample is selected does not have a distribution that is approximately normal. D. The conditions that must be satisfied are that a random sample is selected from the target sample and the selected sample does not have a distribution that is approximately normal. View an example Textbook Statcrunch Clear all Final check
Transcribed Image Text:Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 89.1 meters and s = 12.3 meters, respectively. Suppose you want to determine if the true value of u differs from 95 meters. Complete parts a through h below. 92 98 106 94 80 69 85 O O D. Tnere wouia stili be suTICient evidence to reject the nuii nypotnesis IT a > 0.001 Interpret this value in the words of the problem. A. A Type I error would be to conclude that the true mean of the trap spacing measurements is 89.1 when, in fact, the mean is equal to 95. B. A Type l error would be to conclude that the true mean of the trap spacing measurements is not 95 when, in fact, the mean is equal to 95. C. A Type I error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is equal to 89.1. D. A Type l error would be to conclude that the true mean of the trap spacing measurements is 95 when, in fact, the mean is not equal to 95. f. Give the appropriate conclusion, based on the results of parts d and e. Let a = 0.05. A. Fail to reject Ho. There is sufficient evidence to indicate + 95. B. Reject Ho: There is sufficient evidence to indicate u # 95. C. Fail to reject Ho. There is insufficient evidence to indicate u + 95. D. Reject Ho: There is insufficient evidence to indicateu # 95. g. What conditions must be satisfied for the test results to be valid? A. The conditions that must be satisfied are that a random sample is selected from the target sample and the selected sample has a distribution that is approximately normal. B. The conditions that must be satisfied are that a random sample is selected from the target population and the population from which the sample is selected has a distribution that is approximately normal. C. The conditions that must be satisfied are that a random sample is selected from the target population and the population from which the sample is selected does not have a distribution that is approximately normal. D. The conditions that must be satisfied are that a random sample is selected from the target sample and the selected sample does not have a distribution that is approximately normal. View an example Textbook Statcrunch Clear all Final check
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS