A Web Usage Snapshot indicated a monthly average of 34 Internet visits of a particular website per user from home. A random sample of 30 Internet users yielded a sample mean of 35.9 visits with a standard deviation of 4.3. At the 0.05 level of significance, can it be concluded that this differs from the national average? Assume the population is normally distributed.

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 Web Usage Snapshot indicated a monthly average of 34 Internet visits of a particular website per
user from home. A random sample of 30 Internet users yielded a sample mean of 35.9 visits with a
standard deviation of 4.3.
At the 0.05 level of significance, can it be concluded that this differs from the national average?
Assume the population is normally distributed.
Express your answers correct to 3 decimal places.
a) What test should be performed (z or t)? Type the corresponding letter.
b) Find the critical value(s). If there are two values (2 –tail test), type the negative value first and
separate them with a comma.
c) Calculate the test statistic
d) Make a decision. Type R if you choose to "Reject the null hypothesis"; Type F if you choose to
"Fail to reject the null hypothesis".
e) Choose the correct conclusion (Type 1 or 2):
1. At 5% level of significance, there is not enough evidence to support the claim that the mean is
different from the national average.
2. At 5% level of significance, there is enough evidence to support the claim that the mean is
different from the national average.
Transcribed Image Text:A Web Usage Snapshot indicated a monthly average of 34 Internet visits of a particular website per user from home. A random sample of 30 Internet users yielded a sample mean of 35.9 visits with a standard deviation of 4.3. At the 0.05 level of significance, can it be concluded that this differs from the national average? Assume the population is normally distributed. Express your answers correct to 3 decimal places. a) What test should be performed (z or t)? Type the corresponding letter. b) Find the critical value(s). If there are two values (2 –tail test), type the negative value first and separate them with a comma. c) Calculate the test statistic d) Make a decision. Type R if you choose to "Reject the null hypothesis"; Type F if you choose to "Fail to reject the null hypothesis". e) Choose the correct conclusion (Type 1 or 2): 1. At 5% level of significance, there is not enough evidence to support the claim that the mean is different from the national average. 2. At 5% level of significance, there is enough evidence to support the claim that the mean is different from the national average.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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