Homework Help is Here – Start Your Trial Now!
Math
Statistics
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform Student's t chi-square What are the degrees of freedom? normal binomial (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > x, we fail to reject the null hypothesis. Since the P-value > x, we reject the null hypothesis. Since the P-values x, we reject the null hypothesis. Since the P-values x, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that the average daily January temperature does not follow a normal distribution. At the 1% level of significance, the evidence is insufficient to conclude that the average daily January temperature does not follow a normal distribution.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform Student's t chi-square What are the degrees of freedom? normal binomial (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > x, we fail to reject the null hypothesis. Since the P-value > x, we reject the null hypothesis. Since the P-values x, we reject the null hypothesis. Since the P-values x, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that the average daily January temperature does not follow a normal distribution. At the 1% level of significance, the evidence is insufficient to conclude that the average daily January temperature does not follow a normal distribution.

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
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform Student's t chi-square normal What are the degrees of freedom? binomial (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > x, we fail to reject the null hypothesis. Since the P-value > x, we reject the null hypothesis. Since the P-values x, we reject the null hypothesis. Since the P-values x, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that the average daily January temperature does not follow a normal distribution. At the 1% level of significance, the evidence is insufficient to conclude that the average daily January temperature does not follow a normal distribution. L
Transcribed Image Text:(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? uniform Student's t chi-square normal What are the degrees of freedom? binomial (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010< P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence? Since the P-value > x, we fail to reject the null hypothesis. Since the P-value > x, we reject the null hypothesis. Since the P-values x, we reject the null hypothesis. Since the P-values x, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 1% level of significance, the evidence is sufficient to conclude that the average daily January temperature does not follow a normal distribution. At the 1% level of significance, the evidence is insufficient to conclude that the average daily January temperature does not follow a normal distribution. L
8 Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in January for a town in Hawaii. The x variable has a mean of approximately 68°F and standard deviation o of approximately 4°F. A 20-year study (620 January days) gave the entries in the rightmost column of the following table. Region under Normal Curve LL -30 ≤x≤μ-2 μ-20 ≤X<μL -σ Lo ≤X<f μ ≤X<u+o μ+σ ≤X<μ + 20 μ +20° ≤x<μ +3 σ II X°F 56 ≤ x< 60 60 ≤ x< 64 64 ≤ x< 68 68 ≤ x< 72 72 ≤ x< 76 76 ≤ x< 80 III Expected % from Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% IV Observed Number of Days in 20 Years 16 84 219 215 77
Transcribed Image Text:8 Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in January for a town in Hawaii. The x variable has a mean of approximately 68°F and standard deviation o of approximately 4°F. A 20-year study (620 January days) gave the entries in the rightmost column of the following table. Region under Normal Curve LL -30 ≤x≤μ-2 μ-20 ≤X<μL -σ Lo ≤X<f μ ≤X<u+o μ+σ ≤X<μ + 20 μ +20° ≤x<μ +3 σ II X°F 56 ≤ x< 60 60 ≤ x< 64 64 ≤ x< 68 68 ≤ x< 72 72 ≤ x< 76 76 ≤ x< 80 III Expected % from Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% IV Observed Number of Days in 20 Years 16 84 219 215 77
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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