A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 78 91 46 76 52 35 66 71 72 56 71 77 99 98 77 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

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 group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a
0.01
significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

78
91
46
76
52
35
66
71
72
56
71
77
99
98
77

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60
seconds. Does it appear that students are reasonably good at estimating one minute?
78
91
46
76
52
35 66 71 72 56
71
77
99
98
77
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?
O A. Ho: u= 60 seconds
O B. Ho: u#60 seconds
H1: µ#60 seconds
H1: u = 60 seconds
O D. Ho: µ= 60 seconds
H1:µ< 60 seconds
O C. Ho: u= 60 seconds
H: µ> 60 seconds
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Reject
Ho. There is
sufficient
evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is not correct. It does not appear that, as a group, the students are reasonably good at
estimating one minute.
Transcribed Image Text:A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 78 91 46 76 52 35 66 71 72 56 71 77 99 98 77 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: u= 60 seconds O B. Ho: u#60 seconds H1: µ#60 seconds H1: u = 60 seconds O D. Ho: µ= 60 seconds H1:µ< 60 seconds O C. Ho: u= 60 seconds H: µ> 60 seconds Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Reject Ho. There is sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is not correct. It does not appear that, as a group, the students are reasonably good at estimating one minute.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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