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
icon
Related questions
Topic Video
Question

9

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.
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
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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
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