According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 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 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: I H: I ロ<ロ OSO ロ=ロ ロロ 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. の

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-2
5 ?
(c) Based on your answer to part (b), choose what the researcher can conclude, at the0.10 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
to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough
evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough
evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not
enough evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers.
Transcribed Image Text:-3 -2 5 ? (c) Based on your answer to part (b), choose what the researcher can conclude, at the0.10 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 to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to conclude that the mean distance hiked by each visitor is now greater than 30 kilometers.
According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 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 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2
kilometers. Assume the population standard deviation is 9.9 kilometers.
Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of
significance.
(a) State the null hypothesis H, and the alternative hYpothesis H,.
O<O
OSO
H: I
(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 10 is the value that cuts off an area of 0.10 in the right tail.
Transcribed Image Text:According to previous studies, the mean distance each visitor in Greenspan National Park hikes during their visit is 30 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 30 kilometers. The administrator chooses a random sample of 45 visitors. The mean distance hiked for the sample is 27.2 kilometers. Assume the population standard deviation is 9.9 kilometers. Can the administrator conclude that the mean distance hiked by each visitor is now less than 30 kilometers? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hYpothesis H,. O<O OSO H: I (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 10 is the value that cuts off an area of 0.10 in the right tail.
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