(d) In a random sample of n=150, what is the probability that its sample mean is less than 74.2? Give your answer to three 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
Please only answer part d as I already have the other parts filled out. Thank you!
A population of values has a distribution with µ = 86.4 and o = 83.3. You intend to draw a
random sample of size n = 150.
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
86.4
(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
6.80
(c) In a random sample of n=150, what is the probability that its sample mean is more than 84.5?
Round to three decimal places.
0.610
(d) In a random sample of n=150, what is the probability that its sample mean is less than 74.2? Give
your answer to three decimal places.
FEB
22
W
MacBook Air
80
888
esc
F1
F2
F3
F4
F5
@
#
$
%
&
1
2
3
4
Q
W
E
R
Transcribed Image Text:A population of values has a distribution with µ = 86.4 and o = 83.3. You intend to draw a random sample of size n = 150. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? 86.4 (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) 6.80 (c) In a random sample of n=150, what is the probability that its sample mean is more than 84.5? Round to three decimal places. 0.610 (d) In a random sample of n=150, what is the probability that its sample mean is less than 74.2? Give your answer to three decimal places. FEB 22 W MacBook Air 80 888 esc F1 F2 F3 F4 F5 @ # $ % & 1 2 3 4 Q W E R
Expert Solution
Step 1

Based on the Central Limit Theorem, it is known that μx¯=86.4 and σx¯=6.80.

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Cylinders and Cones
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.
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