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A reporter with the Saint Pete Times is working on a story about the main factor

ID: 3306128 • Letter: A

Question

A reporter with the Saint Pete Times is working on a story about the main factors making restaurants in the St. Pete area different from each other. The variable he is considering is the average meal price per person. The reporter selects a sample of 4 restaurants serving Italian food, Seafood and Steaks. The reporter believes that average price meal per person in the St Pete area is about the same independently of the type of restaurant. The table below shows sample mean and variances for collected data in dollars. Allow for an alpha of 0.05. Seafood Steakhouse 24 8.70.7 Italian Sample Mean24 Sample Variance 2 27 0.7 a. What is the value for the test statistic? 1.18 3.6 0.95 b. What is your decision after performing the test? Accept the null (Ho) Reject the null (Ha) e. What is your conclusion after the test? Be specific and relate the conclusion to the problem View

Explanation / Answer

Answer:

ANOVA

Source

df

SS

MS

F

Groups

2

24

12

3.564357

Error

9

30.3

3.366666

Total

11

54.3

a). test statistic   = 3.6

b).

calculated F=3.6 <critical F value =4.26

Accept the null(Ho).

c).

There is no evidence to reject the hypothesis that average meal price is same for the three restaurants.

ANOVA

Source

df

SS

MS

F

Groups

2

24

12

3.564357

Error

9

30.3

3.366666

Total

11

54.3

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