Suppose x has a distribution with μ = 30 and σ = 26. (a) If a random sample of size n = 31 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (b) If a random sample of size n = 65 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (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 ---Select--- larger than the same as smaller than part (a) because of the ---Select--- same larger smaller sample size. Therefore, the distribution about μx is ---Select--- wider the same narrower .
Suppose x has a distribution with μ = 30 and σ = 26. (a) If a random sample of size n = 31 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (b) If a random sample of size n = 65 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (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 ---Select--- larger than the same as smaller than part (a) because of the ---Select--- same larger smaller sample size. Therefore, the distribution about μx is ---Select--- wider the same narrower .
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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Suppose x has a distribution with μ = 30 and σ = 26.
(a) If a random sample of size n = 31 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.)
(b) If a random sample of size n = 65 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σ 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 ---Select--- larger than the same as smaller than part (a) because of the ---Select--- same larger smallersample size . Therefore, the distribution about μx is ---Select--- wider the same narrower .
| μx = |
| σ x = |
| P(30 ≤ x ≤ 32) = |
(b) If a random sample of size n = 65 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σ x to two decimal places and the probability to four decimal places.)
| μx = |
| σ x = |
| P(30 ≤ x ≤ 32) = |
(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 ---Select--- larger than the same as smaller than part (a) because of the ---Select--- same larger smaller
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