Homework Help is Here – Start Your Trial Now!
Math
Statistics
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,

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,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
See similar textbooks
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$O D>O H: D=D D<O (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test.
Transcribed Image Text:According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 27 kilometers. The park recently closed its shuttle system, which used to transport hikers to many of the park's most popular hiking trails. Because of this, an administrator at the park suspects the mean distance, u, is now less than 27 kilometers. The administrator chooses a random sample of 78 visitors. The mean distance hiked for the sample is 25.6 kilometers. Assume the population standard deviation is 7.1 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 27 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. O<O O$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.
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS