Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x (a) As the sample size becomes increasingly large, what distribution does the x distribution approach? O sampling distribution O binomial distribution O normal distribution O uniform distribution (b) As the sample size becomes increasingly large, what value will the mean of the x distribution approach? Он Oo O μ/n O μ/√n Oμ (c) What value will the standard deviation of the sampling distribution approach? O a/n Oμ Oo O o/√n ox (d) How do the two x distributions for sample size n = 50 and n = 100 compare? (Select all that apply.) The standard deviations are / 50 and o/100, respectively. The standard deviations are the same. The standard deviations are μ/ 50 and μ/ 100, respectively. The standard deviations are a / √50 and / √100, respectively. The standard deviations are μ/ √50 and μ/ √100, respectively. The means are the same.

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
Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x.
(a) As the sample size becomes increasingly large, what distribution does the x distribution approach?
O sampling distribution
O binomial distribution
O normal distribution
O uniform distribution
(b) As the sample size becomes increasingly large, what value will the mean of the x distribution approach?
OHI
O o
O μ/n
Ομίνη
Ομ
(c) What value will the standard deviation of the sampling distribution approach?
O g/n
Ομ
O o
O g/√n
O ox
(d) How do the two x distributions for sample size n = 50 and n = 100 compare? (Select all that apply.)
The standard deviations are o / 50 and o/100, respectively.
00
The standard deviations are the same.
The standard deviations are μ / 50 and μ / 100, respectively.
The standard deviations are o/ √50 and o/ √100, respectively.
The standard deviations are μ/ √50 and μ/ √100, respectively.
The means are the same.
Transcribed Image Text:Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of sample means x. (a) As the sample size becomes increasingly large, what distribution does the x distribution approach? O sampling distribution O binomial distribution O normal distribution O uniform distribution (b) As the sample size becomes increasingly large, what value will the mean of the x distribution approach? OHI O o O μ/n Ομίνη Ομ (c) What value will the standard deviation of the sampling distribution approach? O g/n Ομ O o O g/√n O ox (d) How do the two x distributions for sample size n = 50 and n = 100 compare? (Select all that apply.) The standard deviations are o / 50 and o/100, respectively. 00 The standard deviations are the same. The standard deviations are μ / 50 and μ / 100, respectively. The standard deviations are o/ √50 and o/ √100, respectively. The standard deviations are μ/ √50 and μ/ √100, respectively. The means are the same.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar 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