Which is cheaper: eating out or dining in? The mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.07. A sample of100 neighborhoodrestaurants showed a mean price of $12.77and a standard deviation of $2 for a comparable restaurant meal.

(a)Develop appropriate hypotheses (in dollars) for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home.

H₀:

H_a:

(b)Using the sample from the 100 restaurants, what is the test statistic?

(c) Using the sample from the 100 restaurants, what is thep-value? (Round your answer to four decimal places.)

p-value =