A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 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
A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the
mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of
software developers and find that the mean of the sample is 47 hours and that the standard deviation is 4 hours.
Based on this information, complete the parts below.
(a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?
H, :0
O<O
OSO
H, :0
(b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
(Choose one)
(c) Fill in the blanks to describe the Type I error that could occur if the true mean number of hours worked by software
engineers is 44 hours.
A Type I error would be (Choose one)
v the hypothesis that u is (Choose one)
(Choose one) ▼
when, in fact, µ is (Choose one)
Ix
Transcribed Image Text:A somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, u, is now greater than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 47 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H, :0 O<O OSO H, :0 (b) Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? (Choose one) (c) Fill in the blanks to describe the Type I error that could occur if the true mean number of hours worked by software engineers is 44 hours. A Type I error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, µ is (Choose one) Ix
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 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.
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