Please help me with a,b,c C. Based on your answer to part (b), choose what the administrator can conclude, at 0.10 level of significance. Is the p value less than or greater than the level of significance? Is there enough evidence to conclude that the mean distance hiked by each visitor is now less than 21 kilometers?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Please help me with a,b,c C. Based on your answer to part (b), choose what the administrator can conclude, at 0.10 level of significance. Is the p value less than or greater than the level of significance? Is there enough evidence to conclude that the mean distance hiked by each visitor is now less than 21 kilometers?
(b) Per
Here is some information to help you with your Z-test.
a Z-test and find the p-value.
• The value of the test statistic is given by
• The 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-
Transcribed Image Text:(b) Per Here is some information to help you with your Z-test. a Z-test and find the p-value. • The value of the test statistic is given by • The 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-
Accordi.. previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 21 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, µ, is now less than 21 kilometers. The administrator chooses a
random sample of 85 visitors. The mean distance hiked for the sample is 19.1 kilometers. Assume the population standard deviation
is 9.1 kilometers.
Can the administrator conclude that the mean distance hiked by each visitor is now less than 21 kilometers? Perform a hypothesis
test, using the 0.10 level of significance.
(a) State the null hypothesis H and the alternative hypothesis H,.
Ho: 0
O<O
OSO
O>O
H: 0
O20
D=0
(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 21 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, µ, is now less than 21 kilometers. The administrator chooses a random sample of 85 visitors. The mean distance hiked for the sample is 19.1 kilometers. Assume the population standard deviation is 9.1 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 21 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO O>O H: 0 O20 D=0 (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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