A simple random sample of size n=64 is obtained from a population that is skewed right with μ=70 and σ=24. ​(a) Describe the sampling distribution of x. ​(b) What is P x>75.7​? ​(c) What is P x≤62.8​? ​(d) What is P 67.675.7=enter your response here ​(Round to four decimal places as​ needed.) Part 4 ​(c) P x≤62.8=enter your response here ​(Round to four decimal places as​ needed.) Part 5 ​(d) P 67.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A simple random sample of size
n=64
is obtained from a population that is skewed right with
μ=70
and
σ=24.
​(a) Describe the sampling distribution of
x.
​(b) What is
P x>75.7​?
​(c) What is
P x≤62.8​?
​(d) What is
P 67.6<x<77.5​?
 
 
 

Question content area bottom

Part 1
​(a) Choose the correct description of the shape of the sampling distribution of
x.
 
 
A.
The distribution is approximately normal.
 
B.
The distribution is uniform.
 
C.
The distribution is skewed right.
 
D.
The distribution is skewed left.
 
E.
The shape of the distribution is unknown.
Part 2
Find the mean and standard deviation of the sampling distribution of
x.
 
μx
=
70
σx
=
33
​(Type integers or decimals. Do not​ round.)
Part 3
​(b)
P x>75.7=enter your response here
​(Round to four decimal places as​ needed.)
Part 4
​(c)
P x≤62.8=enter your response here
​(Round to four decimal places as​ needed.)
Part 5
​(d)
P 67.6<x<77.5=enter your response here
​(Round to four decimal places as​ needed.)
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