A manufacturer claims that the mean lifetime, u, of its light bulbs is 45 months. The standard deviation of these lifetimes is 4 months. Thirty bulbs are seled at random, and their mean lifetime is found to be 44 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 45 months?
A manufacturer claims that the mean lifetime, u, of its light bulbs is 45 months. The standard deviation of these lifetimes is 4 months. Thirty bulbs are seled at random, and their mean lifetime is found to be 44 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 45 months?
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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![A manufacturer claims that the mean lifetime, u, of its light bulbs is 45 months. The standard deviation of these lifetimes is 4 months. Thirty bulbs are selec
at random, and their mean lifetime is found to be 44 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of
significance, that the mean lifetime of light bulbs made by this manufacturer differs from 45 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of
formulas.)
H
, :0
The null hypothesis:
The alternative hypothesis:
H
1
D=0 O<O
O20
The type of test statistic:
v (Choose one)
ロォロ
O<O
Chi square
The value of the test statistic:
(Round to at least three
decimal places.)
The two critical values at the
0.01 level of significance:
|and |
(Round to at least three
decimal places.)
Can we conclude that the mean lifetime of light
bulbs made by this manufacturer differs from 45
months?
Yes
No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8674146a-6817-439f-85d5-127f95dcfd61%2F937a0fd7-b289-4528-a888-e7d1a167db9f%2Fsjdmxnq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufacturer claims that the mean lifetime, u, of its light bulbs is 45 months. The standard deviation of these lifetimes is 4 months. Thirty bulbs are selec
at random, and their mean lifetime is found to be 44 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of
significance, that the mean lifetime of light bulbs made by this manufacturer differs from 45 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of
formulas.)
H
, :0
The null hypothesis:
The alternative hypothesis:
H
1
D=0 O<O
O20
The type of test statistic:
v (Choose one)
ロォロ
O<O
Chi square
The value of the test statistic:
(Round to at least three
decimal places.)
The two critical values at the
0.01 level of significance:
|and |
(Round to at least three
decimal places.)
Can we conclude that the mean lifetime of light
bulbs made by this manufacturer differs from 45
months?
Yes
No
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