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: FFSS SSFS F F n USE SALT (a) What is the value of the sample proportion of successes x/n? 0.3 (b) Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample. X = 0.3 How does x compare with x/n? O The proportion in part (a) is exactly equal to the mean in part (b). O The proportion in part (a) is greater than the mean in part (b). O 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 = 0.68 for the entire sample of 25 cars? 14 x cars

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Hello, I am trying to see what mistake I have made with this homework question. The last question I tried 17 and it was wrong but I then -3 towards the 17 for 14, thinking since 3 value from the previous questions and still got it wrong, 

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:
F F S S S S F SF F
In USE SALT
(a) What is the value of the sample proportion of successes x/n?
0.3
(b) Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample.
X = |0.3
How does x compare with x/n?
O The proportion in part (a) is exactly equal to the mean in part (b).
O The proportion in part (a) is greater than the mean in part (b).
O 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 = 0.68 for the entire sample of 25 cars?
| 14
X cars
Transcribed Image Text: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: F F S S S S F SF F In USE SALT (a) What is the value of the sample proportion of successes x/n? 0.3 (b) Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample. X = |0.3 How does x compare with x/n? O The proportion in part (a) is exactly equal to the mean in part (b). O The proportion in part (a) is greater than the mean in part (b). O 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 = 0.68 for the entire sample of 25 cars? | 14 X cars
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