a. Give the mean and standard deviation of the​ (repeated) sampling distribution x.   μx=nothing σx=nothing ​(Type integers or​ decimals.)   b. Describe the shape of the sampling distribution of x. Does this answer depend on the sample​ size? Choose the correct answer below.     A. The shape is that of a normal distribution and does not depend on the sample size.   B. The shape is that of a uniform distribution and depends on the sample size.   C. The shape is that of a uniform distribution and does not depend on the sample size.   D. The shape is that of a normal distribution and depends on the sample size.   c. Calculate the standard normal​ z-score corresponding to a value of x=16.8.   z=nothing

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of
n=100
observations is drawn from a population with a mean equal to
18
and a standard deviation equal to
10.
Complete parts a through g below.
a. Give the mean and standard deviation of the​ (repeated) sampling distribution
x.
 
μx=nothing
σx=nothing
​(Type integers or​ decimals.)
 
b. Describe the shape of the sampling distribution of
x.
Does this answer depend on the sample​ size? Choose the correct answer below.
 
 
A.
The shape is that of a normal distribution and does not depend on the sample size.
 
B.
The shape is that of a uniform distribution and depends on the sample size.
 
C.
The shape is that of a uniform distribution and does not depend on the sample size.
 
D.
The shape is that of a normal distribution and depends on the sample size.
 
c. Calculate the standard normal​ z-score corresponding to a value of
x=16.8.
 
z=nothing
​(Type an integer or a​ decimal.)
d. Calculate the standard normal​ z-score corresponding to a value of
x=19.3.
 
z=nothing
​(Type an integer or a​ decimal.)
e. Find
Px<16.8.
 
Px<16.8=nothing
​(Round to four decimal places as​ needed.)
f. Find
Px>19.3.
 
Px>19.3=nothing
​(Round to four decimal places as​ needed.)
g. Find
P16.8<x<19.3.
 
P16.8<x<19.3=nothing
​(Round to four decimal places as​ needed.)
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