An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 minutes. The standard deviation of completion times is 1.4 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 60 completion times under new management was taken. The sample had a mean of 14.8 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-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 P 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

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
An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 minutes. The standard deviation of completion times is 1.4 minutes. It
is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 60 completion times under new
management was taken. The sample had a mean of 14.8 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion time
has decreased under new management? Assume that the standard deviation of completion times has not changed.
Perform a one-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.
p
Ho :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
O=0
OSO
O20
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value. (Round to three or more decimal places.)
Nancy Dofflemyer
Fwd: Scanned docur
ePrint user
(e) Can we support the claim that the mean completion time has decreased
under new management?
Emily, here you go,
you need anything
Outlook
O Yes O No
Ix
Transcribed Image Text:An automobile assembly line operation has a scheduled mean completion time, µ, of 15.2 minutes. The standard deviation of completion times is 1.4 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 60 completion times under new management was taken. The sample had a mean of 14.8 minutes. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed. Perform a one-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. p Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) Nancy Dofflemyer Fwd: Scanned docur ePrint user (e) Can we support the claim that the mean completion time has decreased under new management? Emily, here you go, you need anything Outlook O Yes O No Ix
Expert Solution
steps

Step by step

Solved in 4 steps with 1 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