better-selling candies are often high in calories. Assume that the following data show the calorie content fromm samples of M&M's, Kit Rat, and MIIky Way anui. IG IGHN Millky Way 230 225 200 210 205 208 250 215 202 220 245 190 230 240 180 st for significant differences among the calorie content of these three candies. ate the null and alternative hypotheses. O H: Not all populations of calories are identical. H: All populations of calories are identical. O H: Median MM MedianKK = MedianMw %3D H: MedianMM > Median KK > MedianMw O H: Median MM = Median, MedianMw KK H: MedianMM MedianKK # MedianMw O H: All populations of calories are identical. H: Not all populations of calories are identical. O H: Median, * Median MedianMw MM KK H Median,, Median = Median, %3D MM KK MW Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decinmal places.) p-value = At a 0.05 level of significance, what is your conclusion? O Reject H. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. O Reject Ho: There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. O Do not reject H. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. O Do not reject H.. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three

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
Question
**Title: Analysis of Calorie Content in Candy Samples**

The table below displays the calorie content from samples of M&M’s, Kit Kat, and Milky Way candies. The goal is to test for significant differences among the calorie content of these candies.

| M&M's | Kit Kat | Milky Way |
|-------|---------|-----------|
| 210   | 220     | 230       |
| 210   | 255     | 255       |
| 250   | 210     | 220       |
| 240   | 245     | 190       |
| 180   | 190     | 200       |

### Test for Significant Differences

#### State the Null and Alternative Hypotheses

- **Option 1:**
  - \( H_0 \): All populations of calories are identical.
  - \( H_1 \): Not all populations of calories are identical.

- **Option 2:**
  - \( H_0 \): Median \( M_M \) = Median \( K_K \) = Median \( M_W \)
  - \( H_1 \): At least one median is different.

- **Option 3:**
  - \( H_0 \): All populations of calories are identical.
  - \( H_1 \): Not all populations of calories are identical.

- **Option 4:**
  - \( H_0 \): Median \( M_M \) = Median \( K_K \) = Median \( M_W \)
  - \( H_1 \): At least one median is different.

#### Perform the Test

1. **Find the Value of the Test Statistic** (Round your answer to two decimal places):

   | Test Statistic: _______________ |

2. **Find the p-value** (Round your answer to three decimal places):

   | p-value: _______________ |

3. **At \( \alpha = 0.05 \) level of significance, what is your conclusion?**

   - \( H_0 \) is rejected. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.
   - \( H_0 \) is not rejected. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies.

### Conclusion

Utilize this information to conduct a proper statistical analysis and evaluate the differences, if any, among the
Transcribed Image Text:**Title: Analysis of Calorie Content in Candy Samples** The table below displays the calorie content from samples of M&M’s, Kit Kat, and Milky Way candies. The goal is to test for significant differences among the calorie content of these candies. | M&M's | Kit Kat | Milky Way | |-------|---------|-----------| | 210 | 220 | 230 | | 210 | 255 | 255 | | 250 | 210 | 220 | | 240 | 245 | 190 | | 180 | 190 | 200 | ### Test for Significant Differences #### State the Null and Alternative Hypotheses - **Option 1:** - \( H_0 \): All populations of calories are identical. - \( H_1 \): Not all populations of calories are identical. - **Option 2:** - \( H_0 \): Median \( M_M \) = Median \( K_K \) = Median \( M_W \) - \( H_1 \): At least one median is different. - **Option 3:** - \( H_0 \): All populations of calories are identical. - \( H_1 \): Not all populations of calories are identical. - **Option 4:** - \( H_0 \): Median \( M_M \) = Median \( K_K \) = Median \( M_W \) - \( H_1 \): At least one median is different. #### Perform the Test 1. **Find the Value of the Test Statistic** (Round your answer to two decimal places): | Test Statistic: _______________ | 2. **Find the p-value** (Round your answer to three decimal places): | p-value: _______________ | 3. **At \( \alpha = 0.05 \) level of significance, what is your conclusion?** - \( H_0 \) is rejected. There is sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. - \( H_0 \) is not rejected. There is not sufficient evidence to conclude that there is a significant difference among the calorie content of these three candies. ### Conclusion Utilize this information to conduct a proper statistical analysis and evaluate the differences, if any, among the
Expert Solution
Excel Output

I am using excel to solve this question. And the command is as follows

Data > Data analysis > Anova:Single-factor > Select the data > ok

===============================================

 

Anova: Single Factor          
           
SUMMARY          
Groups Count Sum Average Variance  
MM 5 1140 228 220  
KK 5 1130 226 280  
Mw 5 980 196 122  
           
           
ANOVA          
Source of Variation SS df MS F P-value
Between Groups 3213.333 2 1606.667 7.75 0.007
Within Groups 2488 12 207.3333    
           
Total 5701.333 14      
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
  • SEE MORE 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