The mean of their times is m = 80.2 seconds, the same as that of the researcher. It is appropriate to conclude which of the following?

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

A researcher wishes to determine if students are able to complete a certain puzzle more quickly while exposed to a pleasant floral scent.  Suppose the time (in seconds) needed for high school students to complete the puzzle while exposed to the scent follows a normal distribution with mean m and standard deviation s = 4.  Suppose also, that in the general population of all high school students, the time needed to complete the puzzle follows a normal distribution with mean 80 and standard deviation s = 4.  The researcher, therefore, decides to test the hypotheses

 

H0: m = 80          Ha: m < 80.

 

To do so, the researcher has 10,000 high school students complete the puzzle in the presence of the floral scent.  The mean time for these students is  = 80.2 seconds and the P-value is less than 0.0001

Suppose that two high school students decide to see if they get the same results as the researcher.  They both do the puzzle while in the presence of the pleasant floral scent.  The mean of their times is m = 80.2 seconds, the same as that of the researcher.  It is appropriate to conclude which of the following?

 

 

A)

They have reproduced the results of the researcher and their P-value will be the same as that of the researcher.

 

B)

They have reproduced the results of the researcher, but their P-value will be slightly smaller than that of the researcher.

 

C)

They will reach the same statistical conclusion as the researcher, but their P-value will be slightly different than that of the researcher.

 

D)

None of the above.

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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