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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

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 =          

? 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 =          

? 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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman