Please help with a,bc C. Based on your answer to part (b), choose what the administrator can conclude, at the 0.05 level of significance. Is the p value greater or less than? Is there enough evidence to conclude that the mean distance hikes by each visitor is now less than 24 kilometers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please help with a,bc C. Based on your answer to part (b), choose what the administrator can conclude, at the 0.05 level of significance. Is the p value greater or less than? Is there enough evidence to conclude that the mean distance hikes by each visitor is now less than 24 kilometers.
p-value is the area under the curve to the left of the value of the test statistic.
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
0.4
O One-tailed
O Two-tailed
0.3-
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2 -
Step 3: Shade the area represented by
the p-value.
0.1+
Step 4: Enter the p-value.
(Round to 3 decimal places.)
Transcribed Image Text:p-value is the area under the curve to the left of the value of the test statistic. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. 0.4 O One-tailed O Two-tailed 0.3- Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 - Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.)
Accordi.. previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 24 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 24 kilometers. The administrator chooses a
random sample of 43 visitors. The mean distance hiked for the sample is 23.1 kilometers. Assume the population standard deviation
is 4.4 kilometers.
Can the administrator conclude that the mean distance hiked by each visitor is now less than 24 kilometers? Perform a hypothesis
test, using the 0.05 level of significance.
(a) State the null hypothesis H and the alternative hypothesis H,.
Ho: 0
O<O
OSO
H7: 0
D=0
ロロ
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
Transcribed Image Text:Accordi.. previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 24 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 24 kilometers. The administrator chooses a random sample of 43 visitors. The mean distance hiked for the sample is 23.1 kilometers. Assume the population standard deviation is 4.4 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 24 kilometers? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO H7: 0 D=0 ロロ (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test.
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