Solution Found!
Answer: A sample of n =10 automobiles was selected, and
Chapter 1, Problem 41E(choose chapter or problem)
Problem 41E
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:
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
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 x/n = .80 for the entire sample of 25 cars?
Questions & Answers
QUESTION:
Problem 41E
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:
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
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 x/n = .80 for the entire sample of 25 cars?
ANSWER:
Answer :
Step 1 of 3 :
Given, 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 F F S S
- The claim is to find the value of the sample proportion of successes x/n
Where, S be the success
We have s = 7
The proportion of success = 7/10
= 0.7