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 S F F S S 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 $\bar { x }$
for this numerically coded sample. How does $\bar { x }$
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 x/n = .80 for the entire sample of 25 cars?

Question

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 S F F S S 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 $\bar { x }$ 
for this numerically coded sample. How does $\bar { x }$ 
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 x/n = .80 for the entire sample of 25 cars?

Quizplus · Accepted Answer

The Answer of 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 S F F S S 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 $\bar { x }$ 
for this numerically coded sample. How does $\bar { x }$ 
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 x/n = .80 for the entire sample of 25 cars?

A Sample of N = 10 Automobiles Was Selected, and Each