Suppose x has a distribution with = 12 and a 6. USE SALT (a) If a random sample of size n = 41 is drawn, find, and P(12 s x s 14). (Round a to two decimal places and the probability to four decimal places.) 12 0.93 x P(12 sxs 14) 0.4842 (b) If a random sample of size n 68 is drawn, find , and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.) 12 1.33 x P(12 sxs 14)=0.4337 x (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 smaller than part (a) because of the larger ✔sample size. Therefore, the distribution about is wider ✓x
Suppose x has a distribution with = 12 and a 6. USE SALT (a) If a random sample of size n = 41 is drawn, find, and P(12 s x s 14). (Round a to two decimal places and the probability to four decimal places.) 12 0.93 x P(12 sxs 14) 0.4842 (b) If a random sample of size n 68 is drawn, find , and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.) 12 1.33 x P(12 sxs 14)=0.4337 x (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 smaller than part (a) because of the larger ✔sample size. Therefore, the distribution about is wider ✓x
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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Transcribed Image Text:Suppose x has a distribution with = 12 and a = 6.
USE SALT
(a) If a random sample of size n = 41 is drawn, find , and P(12 sx s 14). (Round to two decimal places and the probability to four decimal places.)
H-12
0.93
X
P(12 ≤ x ≤ 14)= 0.4842
X
(b) If a random sample of size n = 68 is drawn, find and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.)
H-12
✓
1.33
x
P(12 sxs 14)=0.4337
X
(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 smaller than part (a) because of the larger ✔✔sample size. Therefore, the distribution about is wider
✓x
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