Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. 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.)

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Standard Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
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.)
?
(c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance.
Transcribed Image Text:Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. 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.) ? (c) Based on your answer to part (b), choose what the administrator can conclude, at the 0.10 level of significance.
According to 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, u, is now less than 21 kilometers. The administrator chooses a random sample of 85 visitors. The mean distance hiked for the sample is 20.5
kilometers. Assume the population standard deviation is 8.3 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 .
H: 0
O<O
OSO
H;: 0
D=0
?
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
x --
• 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.
Transcribed Image Text:According to 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, u, is now less than 21 kilometers. The administrator chooses a random sample of 85 visitors. The mean distance hiked for the sample is 20.5 kilometers. Assume the population standard deviation is 8.3 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 . H: 0 O<O OSO H;: 0 D=0 ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x -- • 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.
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