Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 15 minutes. The standard deviation of completion times was 1.4 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 15 minutes. To test this claim, a random sample of 20 completion times under new management was taken by the analyst. The sample had a mean of 14.2 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the population mean completion time under new management is less than 15 minutes? Assume that the population standard deviation of completion times has not changed under new management. 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 H₁. (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.) (e) Can we support the claim that the population mean completion time under new management is less than 15 minutes? O Yes O No μ X 84 0=0 O X S ê 2 00 OSO P 00 020 0#0 O0 Ś

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
Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 15 minutes. The standard deviation of
completion times was 1.4 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 15
minutes. To test this claim, a random sample of 20 completion times under new management was taken by the analyst. The sample had a mean of 14.2
minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the population mean completion
time under new management is less than 15 minutes? Assume that the population standard deviation of completion times has not changed under new
management.
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 H₁.
HO
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 support the claim that the population mean completion time under
new management is less than 15 minutes?
OYes O No
H
|x
5
a
S
X
00
Р
<Q
010
ロ=ロ OSO 020
0#0 O<O ☐>0
S
Transcribed Image Text:Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 15 minutes. The standard deviation of completion times was 1.4 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now less than 15 minutes. To test this claim, a random sample of 20 completion times under new management was taken by the analyst. The sample had a mean of 14.2 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the population mean completion time under new management is less than 15 minutes? Assume that the population standard deviation of completion times has not changed under new management. 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 H₁. HO 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 support the claim that the population mean completion time under new management is less than 15 minutes? OYes O No H |x 5 a S X 00 Р <Q 010 ロ=ロ OSO 020 0#0 O<O ☐>0 S
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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