1. The mean cost of a steak, broccoli, and ride at the grocery store is $13.04. A sample of 100 restaurants had a mean price of $12.75 and a standard deviation of $2 for the same meal. Run a hypothesis test to determine if it is cheaper to eat at a restaurant than to cook the meal yourself!
Solution :
= $13.04
=$12.75
=$2
n = 100
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : = 13.04
Ha : 13.04
Test statistic = z
= ( - ) / / n
= (12.75-13.04) /2 / 100
= −1.45
P-value = 0.1471
There is eat at a restaurant
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