Suppose a reporter wanted to study the average meal price for restaurants locate

Question

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

Explanation / Answer

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

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