Suppose a simple random sample of size n=49 is obtained from a population with μ=85 and σ=28. ​(a) Describe the sampling distribution of x. ​(b) What is P x>89.4​? ​(c) What is P x≤77​? ​(d) What is P 81.8

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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Suppose a simple random sample of size
n=49
is obtained from a population with
μ=85
and
σ=28.
​(a) Describe the sampling distribution of
x.
​(b) What is
P x>89.4​?
​(c) What is
P x≤77​?
​(d) What is
P 81.8<x<94.4​?
 
 
​(a) Choose the correct description of the shape of the sampling distribution of
x.
 
 
A.
The distribution is approximately normal.
Your answer is correct.
 
B.
The distribution is skewed right.
 
C.
The distribution is uniform.
 
D.
The distribution is skewed left.
 
E.
The shape of the distribution is unknown.
Find the mean and standard deviation of the sampling distribution of
x.
 
μx
=
 
σx
=
 
 
Enter your answer in the edit fields and then click Check Answer.

 

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