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.
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.
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.
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.
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.)
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.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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