Suppose x has a distribution with ? = 29 and ? = 27. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (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 ? = 29 and ? = 27. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(29 ≤ x ≤ 31) = (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 .
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Suppose x has a distribution with ? = 29 and ? = 27.
(a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ?x to two decimal places and the probability to four decimal places.)
(b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (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 thesample size . Therefore, the distribution about ?x is .
| ?x = |
| ? x = |
| P(29 ≤ x ≤ 31) = |
(b) If a random sample of size n = 60 is drawn, find ?x, ? x and P(29 ≤ x ≤ 31). (Round ? x to two decimal places and the probability to four decimal places.)
| ?x = |
| ? x = |
| P(29 ≤ x ≤ 31) = |
(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
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