A survey of 1064 Washington D.C. residents ages 15-30 found that 74% of those surveyed used public transportation at least one time per week. Of those, the mean commute time to ride in one direction was 23 minutes. In a random sampling distribution, the standard error was reported as 1.52 minutes. Find the 95% confidence interval for this random sampling distribution of mean commuting times for Washington, D.C. public transportation users. Show all work and interpret the interval. 3)The transportation authorities received funds to increase the number of busses and trains during peak commute times. Public leaders want to know if this initiative has decreased the mean commute time for D.C. public transportation users, so they compared commute times before and after the increase in busses and trains. State the null and alternative hypotheses according to the wording in this part of the question. C.If the p-value for this comparison was 0.015, state your general conclusion (reject the null or fail to reject the null). D.Using p-value = 0.015, state your conclusion based on the context of the problem described in part b. E.If a Type I error occurred in this test, what does that mean, in the context of this problem for the null and alternative hypotheses?

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Description: A survey of 1064 Washington D.C. residents ages 15-30 found that 74% of those surveyed used public transportation at least one time per week. Of those, the mean commute time to ride in one direction was 23 minutes. In a random sampling distribution,

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A survey of 1064 Washington D.C. residents ages 15-30 found that 74% of those surveyed used public transportation at least one time per week. Of those, the mean commute time to ride in one direction was 23 minutes. In a random sampling distribution, the standard error was reported as 1.52 minutes.
Find the 95% confidence interval for this random sampling distribution of mean commuting times for Washington, D.C. public transportation users. Show all work and interpret the interval.

3)The transportation authorities received funds to increase the number of busses and trains during peak commute times. Public leaders want to know if this initiative has decreased the mean commute time for D.C. public transportation users, so they compared commute times before and after the increase in busses and trains. State the null and alternative hypotheses according to the wording in this part of the question.

C.If the p-value for this comparison was 0.015, state your general conclusion (reject the null or fail to reject the null).

D.Using p-value = 0.015, state your conclusion based on the context of the problem described in part b.

E.If a Type I error occurred in this test, what does that mean, in the context of this problem for the null and alternative hypotheses?

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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