According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 47 months. A researcher for a consumer advocate group tests this by selecting 27 bulbs at random. For the bulbs in the sample, the mean lifetime is 48 months. It is known that the population standard deviation of the lifetimes is 4 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 47 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ H 1x X 0=0 O S P

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
Question

please help me

According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 47 months. A researcher for
a consumer advocate group tests this by selecting 27 bulbs at random. For the bulbs in the sample, the mean lifetime is 48
months. It is known that the population standard deviation of the lifetimes is 4 months. Assume that the population is
normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs
made by this manufacturer differs from 47 months?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If
necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H₁.
H:0
H₁:0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we conclude that the population mean lifetime of light bulbs made by
this manufacturer differs from 47 months?
Continue
OYes O No
μ σ
kabet.
אגן
S
X
SE
0=0 OSO 020
Ś
Save For Later
P
Terms of Use
<a
8
>
D
B:
Submit Assignment
Transcribed Image Text:According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 47 months. A researcher for a consumer advocate group tests this by selecting 27 bulbs at random. For the bulbs in the sample, the mean lifetime is 48 months. It is known that the population standard deviation of the lifetimes is 4 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 47 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H:0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (e) Can we conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 47 months? Continue OYes O No μ σ kabet. אגן S X SE 0=0 OSO 020 Ś Save For Later P Terms of Use <a 8 > D B: Submit Assignment
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
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