Answered: Suppose x has a distribution with ? =…

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 ? = 15 and ? = 14

(a) If a random sample of size n = 39 is drawn, find ?_x, ?_x and P(15 ≤ x ≤ 17). (Round ?_x to two decimal places and the probability to four decimal places.)

?_x =

P(15 ≤ x ≤ 17) =

(b) If a random sample of size n = 75 is drawn, find ?_x, ?_x and P(15 ≤ x ≤ 17). (Round ?_x to two decimal places and the probability to four decimal places.)

?_x =

P(15 ≤ x ≤ 17) =

(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 one --- )larger than smaller than the same as) part (a) because of the ---Select one--- (smaller larger same) sample size. Therefore, the distribution about ?_x is ---Select one--- (narrower wider the same)

Suppose x has a distribution with u = 15 and o = 14.
n USE SALT
(a) If a random sample of sizen = 39 is drawn, find u-, o- and P(15 <xS 17). (Round o, to two decimal places and the probability to four decimal places.)
H =
P(15 <xS 17) = |
(b) If a random sample of sizen = 75 is drawn, find u-, o- and P(15 <xS 17). (Round o - to two decimal places and the probability to four decimal places.)
『ェ=
P(15 SxS 17) =
(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- v part (a) because of the --Select-- v sample size. Therefore, the distribution about u, is --Select-- V

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