A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.025 significance level to test the claim that the mean weight of different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has a problem requiring corrective action? Source: Treatment: 5 Error: Total: Ss: 0.085 0.348 0.433 DF: MS: 0.017 0.004 Test Stat, F: Critical F: P-Value: 2.7160 4.1334 0.0020 87 92 Should the null hypothesis that all the colors have the same mean weight be rejected? O A. Yes, because the P-value is less than the significance level. O B. No, because the P-value is less than the significance level. Oc. Yes, because the P-value is greater than the significance level. O D. No, because the P-value is greater than the significance level. Does the company have a problem requiring corrective action? O A. Yes, because it is not likely that the candies do not have equal mean weights. O B. No, because it is likely that the candies do not have equal mean weights. OC. No, because it is not likely that the candies do not have equal mean weights. O D. Yes, because it is likely that the candies do not have equal mean weights.
A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.025 significance level to test the claim that the mean weight of different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has a problem requiring corrective action? Source: Treatment: 5 Error: Total: Ss: 0.085 0.348 0.433 DF: MS: 0.017 0.004 Test Stat, F: Critical F: P-Value: 2.7160 4.1334 0.0020 87 92 Should the null hypothesis that all the colors have the same mean weight be rejected? O A. Yes, because the P-value is less than the significance level. O B. No, because the P-value is less than the significance level. Oc. Yes, because the P-value is greater than the significance level. O D. No, because the P-value is greater than the significance level. Does the company have a problem requiring corrective action? O A. Yes, because it is not likely that the candies do not have equal mean weights. O B. No, because it is likely that the candies do not have equal mean weights. OC. No, because it is not likely that the candies do not have equal mean weights. O D. Yes, because it is likely that the candies do not have equal mean weights.
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
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
9

Transcribed Image Text:A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.025 significance level to test the claim that the mean weight of
different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has a problem requiring corrective action?
Source:
DF:
SS:
MS:
Test Stat, F: Critical F: P-Value:
Treatment: 5
0.085
0.017
4.1334
2.7160
0.0020
Error:
87
0.348
0.004
Total:
92
0.433
.....
Should the null hypothesis that all the colors have the same mean weight be rejected?
A. Yes, because the P-value is less than the significance level.
B. No, because the P-value is less than the significance level.
O c. Yes, because the P-value is greater than the significance level.
O D. No, because the P-value is greater than the significance level.
Does the company have a problem requiring corrective action?
O A. Yes, because it is not likely that the candies do not have equal mean weights.
B. No, because it is likely that the candies do not have equal mean weights.
C. No, because it is not likely that the candies do not have equal mean weights.
D. Yes, because it is likely that the candies do not have equal mean weights.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 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.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