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 ? = 9.

(a) If a random sample of size n = 35 is drawn, find ?_x, ?_x and P(15 ≤ x ≤ 17). (Round ?_x to two decimal places and the probability to four decimal places.)

(b) If a random sample of size n = 61 is drawn, find ?_x, ?_x and P(15 ≤ x ≤ 17). (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 (smaller than/the same as/larger than) part (a) because of the ________ (larger/same/smaller) sample size. Therefore, the distribution about ?_x is ___________ (narrower/wider/the same).

Suppose x has a distribution with u = 15 and o = 9.
n USE SALT
(a) If a random sample of size n = 35 is drawn, find uy, oz and P(15 < x< 17). (Round o, to two decimal places and the probability to four decimal places.)
反=
P(15 sxS 17) =
(b) If a random sample of size n = 61 is drawn, find µz, o, and P(15 <x< 17). (Round o, to two decimal places and the probability to four decimal places.)
反 =
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
v part (a) because of the
sample size. Therefore, the distribution about u, is

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