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

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**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
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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      
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