A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: u=719 O B. Ho: H2 746 (claim) OC. Ho: u>746 Ha: us746 (claim) Ha: u#719 (claim) H: u<746 O D. Ho: H<719 (claim) O E. Ho: us719 Ha: u>719 (claim) OF. Ho:u 746(claim) Ha: u2719 H:=746 (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. O B. OC. Fail to reject Ho Fail to reject Hg- Fail to reject Hg- Reject Ho Reject Ho Reject Ho Reject Ho

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 light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719
hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the
manufacturer's claim? Complete parts (a) through (e).
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: H= 719
O B. Ho: µ2746 (claim)
Ha: µ<746
OC. Ho: H>746
H3: u#719 (claim)
Ha: us746 (claim)
O D. Ho: H<719 (claim)
O E. Ho: HS719
OF. Ho: H#746(claim)
H:u=746
Hai H2719
Ha: u>719 (claim)
(b) Identify the critical value(s). Use technology.
zo =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Identify the rejection region(s). Choose the correct answer below.
OA.
O B.
Oc.
Fail to reject Ho
Fail to reject H-
Fail to reject H-
Reject Ho/
Reject Ho-
Reject Ho-
Reject H.
Click to select your answer(s).
MacBook Air
esc
F4
F1
F3
@
2#
&
3
4
6
8
Transcribed Image Text:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 746 hours. A random sample of 28 light bulbs has a mean life of 719 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H= 719 O B. Ho: µ2746 (claim) Ha: µ<746 OC. Ho: H>746 H3: u#719 (claim) Ha: us746 (claim) O D. Ho: H<719 (claim) O E. Ho: HS719 OF. Ho: H#746(claim) H:u=746 Hai H2719 Ha: u>719 (claim) (b) Identify the critical value(s). Use technology. zo = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. OA. O B. Oc. Fail to reject Ho Fail to reject H- Fail to reject H- Reject Ho/ Reject Ho- Reject Ho- Reject H. Click to select your answer(s). MacBook Air esc F4 F1 F3 @ 2# & 3 4 6 8
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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.
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