A sample of n 5 10 automobiles was selected, and eachwas subjected to a 5-mph crash test. Denoting a car withno visible damage by S (for success) and a car with suchdamage by F, results were as follows:S S F S S S F F S Sa. What is the value of the sample proportion of successesx/n?b. Replace each S with a 1 and each F with a 0. Thencalculate x for this numerically coded sample. Howdoes x compare to x/n?c. Suppose it is decided to include 15 more cars in theexperiment. How many of these would have to be S’sto give xyn 5 .80 for the entire sample of 25 cars?

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A sample of n 5 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 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 xyn 5 .80 for the entire sample of 25 cars?

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