A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, u, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternativa hypothesis H1. OsO (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"), Here is some other information to help you with your testi • F0.05 os is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z- Standard Normal Distribution Step 1: Select one-talled or two-tailed. O Onestailend

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
mưoduction to nypoun
A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, u, of 12 years. To test the
company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard
deviation of these lifetimes is known to be 2.7 years.
Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of
significance.
(a) State the null hypothesis H, and the alternative. hypothesis H,.
Hg: I
OSO
H;: I
(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your testi
• 20.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
Vn
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
03
Explanation
Check
2021 McGraw H Education. All Rights Reserved Terms of Use I Privacy I Accessibility
MacBook Air
esc
**
888 .
F3
FA
%23
%24
%
&
*
3
5
6
8
Q
E
T
Y
P
ck
A
D
F
G
H
K
C
V
alt
alt
option
command
command
option
Transcribed Image Text:mưoduction to nypoun A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, u, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean lifetime of the sample is 10.8 years. Suppose the population standard deviation of these lifetimes is known to be 2.7 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative. hypothesis H,. Hg: I OSO H;: I (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your testi • 20.05 is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z=- Vn Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed 03 Explanation Check 2021 McGraw H Education. All Rights Reserved Terms of Use I Privacy I Accessibility MacBook Air esc ** 888 . F3 FA %23 %24 % & * 3 5 6 8 Q E T Y P ck A D F G H K C V alt alt option command command option
(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test.
Z0.05 is the value that cuts off an area of 0.05 in the right tail.
• The test statistic has a normal distribution and the value is given by z=-
1 – x
Standard Normal Distribution
04
Step 1: Select one-tailed or two-taled.
O One-tailed
0.3+
O Two-tailed
Step 2: Enter the critical value(s).
(Round to 3 decimal places.)
0.2+
0.1+
Step 3: Enter the test statistic.
(Round to 3 decimal places.)
?
(c) Based on your answer to part (b), choose what can be concluded, at the 0,10 level of significance, about the claim made by the company.
O Since the value of the test statistic lies in the reiection reaion, the nulLhvpothesis is refected. So. there is enouah evidence
Explanation
Check
2021 McGraw HI Education. Al Rights Reserved Terms of Use
PrivacyI Accessibility
MacBook Air
esc
F3
F4
F5
23
%24
&
3
4.
8
9.
Q
E
R
T
Y
P
D
H
K
C
V
B
M
alt
alt
option
command
command
option
V
Transcribed Image Text:(b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. Z0.05 is the value that cuts off an area of 0.05 in the right tail. • The test statistic has a normal distribution and the value is given by z=- 1 – x Standard Normal Distribution 04 Step 1: Select one-tailed or two-taled. O One-tailed 0.3+ O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) ? (c) Based on your answer to part (b), choose what can be concluded, at the 0,10 level of significance, about the claim made by the company. O Since the value of the test statistic lies in the reiection reaion, the nulLhvpothesis is refected. So. there is enouah evidence Explanation Check 2021 McGraw HI Education. Al Rights Reserved Terms of Use PrivacyI Accessibility MacBook Air esc F3 F4 F5 23 %24 & 3 4. 8 9. Q E R T Y P D H K C V B M alt alt option command command option V
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
  • SEE MORE 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