A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is greater than 40 hours? Use the 0.05 level of significance. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (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. O=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%
It seem
e days that college graauates wno are employea TUII-time work more than 40-nour weeks. Data are avallable that can nelp us decide ir this is true.
A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean
number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours.
Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is
greater than 40 hours? Use the 0.05 level of significance.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (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.
D=0
OSO
(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.)
(e) Can we conclude, at the 0.05 level of significance, that the mean number of
--...-- ...- --.- J - -- ...- -I. L.. --II- -- ---- -.
-------- Ll. - -- A0 - -..---
olo
Transcribed Image Text:It seem e days that college graauates wno are employea TUII-time work more than 40-nour weeks. Data are avallable that can nelp us decide ir this is true. A survey wus recently sent to a group of adults selected at random. There were 12 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 12 respondents was 42 hours, with a standard deviation of 10 hours. Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean u. Can we conclude that u is greater than 40 hours? Use the 0.05 level of significance. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (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. D=0 OSO (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.) (e) Can we conclude, at the 0.05 level of significance, that the mean number of --...-- ...- --.- J - -- ...- -I. L.. --II- -- ---- -. -------- Ll. - -- A0 - -..--- olo
Expert Solution
steps

Step by step

Solved in 4 steps with 4 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.
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