Suppose x has a distribution with u = 14 and o = 12.(a) If a random sample of size n = 45 is drawi, find u-,o- and P(14

The mean is 14 and the standard deviation is 12.

Answered: (b) If a random sample of size n = 67…

(b) If a random sample of size n = 67 is drawn, find u- o- and P(14 sxS 16). (Round o - to two decimal places and the probability to four decimal places.) P(14 < x < 16) =

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose x has a distribution with u = 14 and o = 12.
(a) If a random sample of size n = 45 is drawi, find u-,o- and P(14 <x< 16). (Round o, to two decimal places and the probability to four decimal places.)
O=17889
P(14 sx S 16) = 0.3686
(b) If a random sample of size n = 67 is drawn, find u- o- and P(14 s xs 16). (Round o - to two decimal places and the probability to four decimal places.)
P(14 sxs 16) =
(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 thanv part (a) because of the larger
V sample size. Therefore, the distribution about u- is narrower
US 2 V
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