A sample of n = 10 automobiles was selected, and each was subjected to a 5-mph c

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 F S S 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 x^bar for this numerically coded sample. x^bar = ________ How does x^bar compare with x/n? The proportion in part (a) is exactly equal to the mean in part(b). The proportion in part (a) is greater than the mean is part (b). The proportion in part (a) is less than the mean in part (b). 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 = 0.64 for the entire sample of 25 __________ cars?

Explanation / Answer

a ans) given that number of success = 7

sample size =10

x/n = 7/10= 0.7 proportion of sucesss

bans ) after replacing we get x^= 0.70 proportion of successes,

x and x/n have the same value

c ans)

s= 0.64 so s = (0.64)(25) = 16

total of 16 successes

16–7 = 6 of the new cars would have to be successes

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