You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,346 dollars with a standard deviation of 7757 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars G (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and refers to a t distribution.) Sampling scenario z t Could use either Z or / Unclear The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. о о The sample has size 17, and it is from a population with a distribution about which we know very little. O о The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 7501. о о O Explanation Check Q 0. A N 2 W S #3 X T H command 80 F3 $ 4 5 Experi ©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility 2024-035.05PM tv NAC 2024-0.10.41PM EPIC 5 de % S E R T D C F > < 6 & 7 81 U 8 D-11 F8 A F10 9 0 P { F12 G H J K L ? B N M He command option
You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,346 dollars with a standard deviation of 7757 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? dollars G (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and refers to a t distribution.) Sampling scenario z t Could use either Z or / Unclear The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. о о The sample has size 17, and it is from a population with a distribution about which we know very little. O о The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 7501. о о O Explanation Check Q 0. A N 2 W S #3 X T H command 80 F3 $ 4 5 Experi ©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility 2024-035.05PM tv NAC 2024-0.10.41PM EPIC 5 de % S E R T D C F > < 6 & 7 81 U 8 D-11 F8 A F10 9 0 P { F12 G H J K L ? B N M He command option
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:You would like to construct a 95% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a
random sample of such incomes and compute the mean of the sample as 40,346 dollars with a standard deviation of 7757 dollars.
(a) What is the best point estimate, based on the sample, to use for the population mean?
dollars
G
(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value
for the 95% confidence interval for the population mean.
(In the table, Z refers to a standard normal distribution, and refers to a t distribution.)
Sampling scenario
z
t
Could use
either Z or /
Unclear
The sample has size 14, and it is from a normally distributed
population with an unknown standard deviation.
о
о
The sample has size 17, and it is from a population with a
distribution about which we know very little.
O
о
The sample has size 110, and it is from a non-normally distributed
population with a known standard deviation of 7501.
о
о
O
Explanation
Check
Q
0.
A
N
2
W
S
#3
X
T
H
command
80
F3
$
4
5
Experi
©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center
Accessibility
2024-035.05PM
tv
NAC
2024-0.10.41PM
EPIC
5 de
%
S
E
R
T
D
C
F
>
< 6
&
7
81
U
8
D-11
F8
A
F10
9
0
P
{
F12
G
H
J
K
L
?
B
N
M
He
command
option
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