MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 27 kilometers. The park recently closed its
shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean
distance, u, is now less than 27 kilometers. The administrator chooses a random sample of 78 visitors. The mean distance hiked for the sample is 25.6
kilometers. Assume the population standard deviation is 7.1 kilometers.
Can the administrator conclude that the mean distance hiked by each visitor is now less than 27 kilometers? Perform a hypothesis test, using the 0.05 level of
significance.
(a) State the null hypothesis H, and the alternative hypothesis H,.
O<O O$O D>O
H:
D=D D<O
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
expand button
Transcribed Image Text:According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 27 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, u, is now less than 27 kilometers. The administrator chooses a random sample of 78 visitors. The mean distance hiked for the sample is 25.6 kilometers. Assume the population standard deviation is 7.1 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 27 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O<O O$O D>O H: D=D D<O (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test.
V Enter the p-value.
(Kound to 3 decimal places.)
-3
-2
-1
1.
(c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.05 level of significance.
LEGO
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough
evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers.
O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not
enough evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers.
O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
conclude that the mean distance hiked by each visitor is now less than 27 kilometers.
O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers.
3.
2.
expand button
Transcribed Image Text:V Enter the p-value. (Kound to 3 decimal places.) -3 -2 -1 1. (c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.05 level of significance. LEGO O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now less than 27 kilometers. 3. 2.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman