A manufacturer claims that the mean lifetime, µ, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Nineteen bulbs are selected at random, and their mean lifetime is found to be 50 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 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 H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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
100%
A manufacturer claims that the mean lifetime, u, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Nineteen bulbs are
selected at random, and their mean lifetime is found to be 50 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of
significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 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 Ho and the alternative hypothesis H.
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the two critical values. (Round to three or more decimal places.)
I and I
(e) Can we conclude that the mean lifetime of light bulbs made by this
manufacturer differs from 54 months?
O Yes ONo
Transcribed Image Text:A manufacturer claims that the mean lifetime, u, of its light bulbs is 54 months. The standard deviation of these lifetimes is 6 months. Nineteen bulbs are selected at random, and their mean lifetime is found to be 50 months. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 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 Ho and the alternative hypothesis H. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O ? (d) Find the two critical values. (Round to three or more decimal places.) I and I (e) Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 54 months? O Yes ONo
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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