Suppose a reporter wanted to study the average meal price fo
Suppose a reporter wanted to study the average meal price for restaurants located in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. This dataset shows the prices obtained for the 24 restaurants sampled. Use = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurant.
*Give your answers to two decimal places.*
1. What is the null hypothesis ?
2. What is MSTR?
3. What is MSE? *Give your answer to two decimal places.*
4. What is the value of the test statistic? *Give your answer to two decimal places.*
5. What is the p-value? *Give your answer to four decimal places.*
6. What is your conclusion using = 0.05?
7. State your conclusion in words a non-statistician could understand.
| Italian | Seafood | Steakhouse | 
| 12 | 16 | 24 | 
| 13 | 18 | 19 | 
| 15 | 17 | 23 | 
| 17 | 26 | 25 | 
| 18 | 23 | 21 | 
| 20 | 15 | 22 | 
| 17 | 19 | 27 | 
| 24 | 18 | 31 | 
Solution
Sol)
Null hypothesis: There is a nor significant difference among the mean meal price for the three types of restaurant.
Alternative hyp: There is a significant difference among the mean meal price for the three types of restaurant.
Level :5%
From EXCEL
2) MSTR=208
3)MSE=298
4) F STATISTIC=7.3288
5) P value=0.003852
6) P < 0.05, we reject the Null hypothesis.
7) There is a significant difference among the mean meal price for the three types of restaurant
| Anova: Single Factor | ||||||
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | ||
| Italian | 8 | 136 | 17 | 14.85714 | ||
| Seafood | 8 | 152 | 19 | 13.71429 | ||
| Steakhouse | 8 | 192 | 24 | 14 | ||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit | 
| Between Groups | 208 | 2 | 104 | 7.328859 | 0.003852 | 3.4668 | 
| Within Groups | 298 | 21 | 14.19048 | |||
| Total | 506 | 23 | 


