Answered: A data set includes times (in minutes)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A data set includes times (in minutes) of taxi cab rides in New York City yellow cabs during a Friday morning of the same day in a recent year. Using 38 of the times to test the claim that the mean of all such times is less than 15 minutes, the accompanying Minitab display is obtained. Test the given claim by using the display provided from Minitab. Use a 0.05 significance level. Question 1: Identify the test statistic Question 2: Identify the P-value Question 3: State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim FILL IN THE BANKS BELOW! _____ the null hypothesis. There ____ sufficient evidence at the 0.01 significance level to _____ the claim that the mean time of all taxi cab rides in New York City yellow cabs during the Friday morning is less than 15 minutes.

Minitab Display
Test
Ho: μ = 15
Null hypothesis
Alternative hypothesis H₁: μ< 15
T-Value P-Value
- 1.67
0.052
Print
Done
4
- X

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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