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According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 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 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H,. O

According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 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 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H,. O

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
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Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed 0.3+ O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) + -3 -2 3 (c) Based on your answer to part (b), choose what the researcher can conclude, at the 0.05 level of significance. O since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence
Transcribed Image Text:Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed 0.3+ O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) + -3 -2 3 (c) Based on your answer to part (b), choose what the researcher can conclude, at the 0.05 level of significance. O since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 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 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H. Ho O<O OSO H: I D=0 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. Z0 05 is the value that cuts off an area of 0.05 in the right tail. Z0.05
Transcribed Image Text:According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 25 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 25 kilometers. The administrator chooses a random sample of 55 visitors. The mean distance hiked for the sample is 24.3 kilometers. Assume the population standard deviation is 5.8 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 25 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H. Ho O<O OSO H: I D=0 (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. Z0 05 is the value that cuts off an area of 0.05 in the right tail. Z0.05
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