A cell phone manufacturer test the battery lifetime of its cell phones by recording the time it takes for the battery charges To run out while testers are streaming videos on the phones continuously. The manufacture claims that the population mean of the battery life terms of Alfonso through latest model is 5.93 hours. As a researcher for a consumer information service you want to test his claim. To do so you select a random sample 45 cell phones of the manufacturers latest model in record their battery lifetime. As soon as number population standard deviation of the battery life times for the cell phone model is 2.42 hours. Based on your sample of all the steps below to construct a 95% confidence interval for the population mean the battery life times for all phones with a manufacturers latest model

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A cell phone manufacturer test the battery lifetime of its cell phones by recording the time it takes for the battery charges To run out while testers are streaming videos on the phones continuously. The manufacture claims that the population mean of the battery life terms of Alfonso through latest model is 5.93 hours. As a researcher for a consumer information service you want to test his claim. To do so you select a random sample 45 cell phones of the manufacturers latest model in record their battery lifetime. As soon as number population standard deviation of the battery life times for the cell phone model is 2.42 hours. Based on your sample of all the steps below to construct a 95% confidence interval for the population mean the battery life times for all phones with a manufacturers latest model
(a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model.
Sample standard
Population standard
deviation
Number of phones
Sample mean
deviation
Take Sample
45
5.49
2.15
2.42
Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your
95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample size:
Standard error:
Point estimate:
Critical values
Population standard deviation:
Margin of error:
Z0.00s =2.576
F0.010 =2.326
Critical value:
F0.0251.960
95% confidence interval:
F0.050 -1.645
Compute
F0.100-1.282
(b) Based on your sample, graph the 95% confidence interval for the population mean of the battery lifetimes for all
phones of the manufacturer's latest model.
Enter the lower and upper limits on the graph to show your confidence interval.
• For the point (+), enter the manufacturer's claim of 5.93 hours.
Explanation
Check
2021 McGraw HII Education. All Rights Reserved Terms of Use Privacy
I Accessibility
MacBook Air
**
888 .
A FIO
F
F12
23
$
&
2
3
4
6.
8.
Q
E
R
Y
U
A
D
F
G
J
K
C
V
M
alt
command
command
option
I
Transcribed Image Text:(a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model. Sample standard Population standard deviation Number of phones Sample mean deviation Take Sample 45 5.49 2.15 2.42 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard error: Point estimate: Critical values Population standard deviation: Margin of error: Z0.00s =2.576 F0.010 =2.326 Critical value: F0.0251.960 95% confidence interval: F0.050 -1.645 Compute F0.100-1.282 (b) Based on your sample, graph the 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. Enter the lower and upper limits on the graph to show your confidence interval. • For the point (+), enter the manufacturer's claim of 5.93 hours. Explanation Check 2021 McGraw HII Education. All Rights Reserved Terms of Use Privacy I Accessibility MacBook Air ** 888 . A FIO F F12 23 $ & 2 3 4 6. 8. Q E R Y U A D F G J K C V M alt command command option I
(b) Based on your sample, graph the 95% confidence interval for the population mean of the battery lifetimes for all
phones of the manufacturer's latest model.
• Enter the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the manufacturer's claim of 5.93 hours.
95% confidence interval:
10.00
0.00
5.00
0.00
2.00
4.00
6.00
8.00
10.00
?
(c)
Does the 95% confidence interval you constructed contradict the manufacturer's claim? Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The manufacturer's daim of 5.93 hours is inside the 95%
confidence interval.
O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.93 hours is outside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.93 hours
interval.
is inside the 95% confidence
O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.93 hours is outside the 95% confidence
interval.
Explanation
Check
O 2021 McGraw-Hl Education. All Rights Reserved Terms of Use
Privacy
Accessi
MacBook Air
esc
品昌
F4
F2
F7
%23
$
4
%
&
3
5
6.
8
E
R
Y
A
F
K
C
V
B
alt
option
command
command
oF
Transcribed Image Text:(b) Based on your sample, graph the 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. • Enter the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the manufacturer's claim of 5.93 hours. 95% confidence interval: 10.00 0.00 5.00 0.00 2.00 4.00 6.00 8.00 10.00 ? (c) Does the 95% confidence interval you constructed contradict the manufacturer's claim? Choose the best answer from the choices below. O No, the confidence interval does not contradict the claim. The manufacturer's daim of 5.93 hours is inside the 95% confidence interval. O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.93 hours is outside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.93 hours interval. is inside the 95% confidence O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.93 hours is outside the 95% confidence interval. Explanation Check O 2021 McGraw-Hl Education. All Rights Reserved Terms of Use Privacy Accessi MacBook Air esc 品昌 F4 F2 F7 %23 $ 4 % & 3 5 6. 8 E R Y A F K C V B alt option command command oF
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman