You suspect that drivers for Uber/Lyft have newer cars than a driver who doesn’t drive for Uber/Lyft. Listed below are the ages of cars that you randomly sampled from the streets of Portland.If one were to conduct a hypothesis test for the difference in mean car age and mean Uber/Lyft car age, the conditions for the test would need to be checked. What conditions should you check?Check the conditions and explain how the conditions are met or not.What is the appropriate test to conduct, an independent samples t test or paired t test? Explain. Uber/Lyft car age408111434435833746618215114Non-Uber/Lyft Car age 8803843361177695108434

1) To perform the Hypothesis test for difference in mean car age and mean Uber/Lyft Car Age, the…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 8SGR

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You suspect that drivers for Uber/Lyft have newer cars than a driver who doesn’t drive for Uber/Lyft. Listed below are the ages of cars that you randomly sampled from the streets of Portland.
1. If one were to conduct a hypothesis test for the difference in mean car age and mean Uber/Lyft car age, the conditions for the test would need to be checked. What conditions should you check?
2. Check the conditions and explain how the conditions are met or not.
3. What is the appropriate test to conduct, an independent samples t test or paired t test? Explain.

Uber/Lyft car age	4	0	8	11	14	3	4	4	3	5	8	3	3	7	4	6	6	1	8	2	15	11	4
Non-Uber/Lyft Car age	8	8	0	3	8	4	3	3	6	11	7	7	6	9	5	10	8	4	3	4

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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