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
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 r
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 r

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