Question

9. [11/21 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 1.E.041 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: FFSFSS FS F F (a) What is the value of the sample proportion of successes x/n? 03 X (b) Replace each with a 1 and each with a 0. Then cliclate for this numerically coded sample X-3 How does compare with win? The proportion in part (a) is exactly equal to the mean in part (b) The proportion in part (a) is greater than the mean in 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 to give in-0.72 for the entire sample of 25 cars? 14 cars

Answer 1

Number of successes (S) denoted by x = 4

And n= 10

Hence

a) sample proportion = x / n

= 4 / 10

= 0.4

b) sample mean () = sum / n

T

= 4 / 10

= 0.4

Proportion is exactly equal to the mean

c) answer 14