A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimate the mean SI score, μ, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate u via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 99% confident that her estimate is within 20 of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) 0 X S

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
icon
Related questions
Question
E
Economics 1.
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
Choosing an appropriate sample size
11
Explanation
0
FI
18
Schedule Bu..
Q
@2
A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimate
the mean SI score, μ, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate μ via this sample. Assuming
that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 99%
confident that her estimate is within 20 of u?
Check
☀
Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole
number that satisfies the requirements).
(If necessary, consult a list of formulas.)
F2
W
X
20
#3
Faculty DM
F3
E
S
000
000
$
4
F4
R
20
Cllucian Deg...
%
5
www-awu.aleks.com
F5
T
CUNY TRAN. K
MacBook Air
< 6
F6
Y
44
&
7
F7
Chegg Search C
U
► 11
*
8
00000 1/5
F8
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibil
09
▶
1
9
10
Search Resu
F9
O
-0
ALEKS-Nad......
F10
P
-
F11
{
N
+ 11
Transcribed Image Text:E Economics 1. O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Choosing an appropriate sample size 11 Explanation 0 FI 18 Schedule Bu.. Q @2 A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimate the mean SI score, μ, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate μ via this sample. Assuming that the standard deviation of SI scores for the population of all smokers is 85, what is the minimum sample size needed for the psychologist to be 99% confident that her estimate is within 20 of u? Check ☀ Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) F2 W X 20 #3 Faculty DM F3 E S 000 000 $ 4 F4 R 20 Cllucian Deg... % 5 www-awu.aleks.com F5 T CUNY TRAN. K MacBook Air < 6 F6 Y 44 & 7 F7 Chegg Search C U ► 11 * 8 00000 1/5 F8 © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibil 09 ▶ 1 9 10 Search Resu F9 O -0 ALEKS-Nad...... F10 P - F11 { N + 11
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt