In: Statistics and Probability
Which is cheaper: eating out or dining in? The mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04. A sample of 100 neighborhood restaurants showed a mean price of $12.60 and a standard deviation of $2 for a comparable restaurant meal.
(a) | Choose the appropriate hypotheses 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. | ||||
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(b) | Using the sample from the 100 restaurants, what is the p value? If required, round your answer to four decimal places. | ||||
(c) | At α = 0.05, what is your conclusion? | ||||
We -(reject or fail to reject)- the null hypothesis. We -(can or cannot)- conclude that the cost of a restaurant meal is significantly cheaper than a comparable meal fixed at home. | |||||