Question

Your school has a new restaurant in the food court. Every day it has a different...

Your school has a new restaurant in the food court. Every day it has a different meal and different price. A friend told you that the average price is $10. You wanted to test if your friend is correct. You collected a sample of 20 lunch for 20 days. The mean price your paid for lunch is $11.5 with a standard deviation of $2.2. Assume that the price is normally distributed.

Test the hypothesis that the mean price for lunch is different from $10. What is your conclusion?

Homework Answers

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 10

Ha :    10

= 11.5

= 10

= 2.2

n = 20

df = 20 - 1 = 19

Test statistic = t

= ( - ) / s / n

= (11.5 - 10) / 2.2 / 20

= 3.05

Test statistic = 3.05

P-value = 0.0066

= 0.05

P-value <

Reject the null hypothesis .

There is enough evidence to suggest that the mean price for lunch is different from $10 .

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