Question: 41. A sample of n 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible

41. A sample of n 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage by S (for success) and a car with such damage by F, results were as follows:

S S F SSS F F S S

a. What is the value of the sample proportion of successes x/n?

b. Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample. How does x compare to x/n?

c. Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S’s to give x/n .80 for the entire sample of 25 cars?

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