Suppose x has a distribution with ? = 12 and ? = 5. (a) If a random sample of size n = 39 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(12 ≤ x ≤ 14) = (b) If a random sample of size n = 58 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(12 ≤ x ≤ 14) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is _____ part (a) because of the _____ sample size. Therefore, the distribution about ?x is ______ .
Suppose x has a distribution with ? = 12 and ? = 5. (a) If a random sample of size n = 39 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(12 ≤ x ≤ 14) = (b) If a random sample of size n = 58 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(12 ≤ x ≤ 14) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is _____ part (a) because of the _____ sample size. Therefore, the distribution about ?x is ______ .
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Question
Suppose x has a distribution with ? = 12 and ? = 5.
(a) If a random sample of size n = 39 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ?x to two decimal places and the probability to four decimal places.)
(b) If a random sample of size n = 58 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ? x to two decimal places and the probability to four decimal places.)
(c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)
The standard deviation of part (b) is _____ part (a) because of the _____ sample size. Therefore, the distribution about ?x is ______ .
| ?x = |
| ? x = |
| P(12 ≤ x ≤ 14) = |
(b) If a random sample of size n = 58 is drawn, find ?x, ? x and P(12 ≤ x ≤ 14). (Round ? x to two decimal places and the probability to four decimal places.)
| ?x = |
| ? x = |
| P(12 ≤ x ≤ 14) = |
(c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).)
The standard deviation of part (b) is _____ part (a) because of the _____ sample size. Therefore, the distribution about ?x is ______ .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you