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Description: 1.a.A study of commuting times reports the travel times to work of a random sample of 1043 employed adults in Chicago. The mean is x = 34.0 minutes and the standard deviation is s = 48.9 minutes. What is the standard error of the mean? (Round your an

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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1.a.A study of commuting times reports the travel times to work of a random sample of 1043 employed adults in Chicago. The mean is x = 34.0 minutes and the standard deviation is s = 48.9 minutes. What is the standard error of the mean? (Round your answer to four decimal places.)
minutes

b.Five hundred sixteen (516) homes in a certain southern California community are randomly surveyed to determine if they meet minimal earthquake preparedness recommendations. One hundred seventy-five (175) of the homes surveyed met the minimum recommendations for earthquake preparedness and 341 did not.

Find the point estimate for the population proportion of homes that do not meet the minimum recommendations for earthquake preparedness. (Round your answer to four decimal places.)

c.A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

Plant Group	Sample Mean Height of Plants (inches)	Population Standard Deviation
Food	16	2.5
No food	14	1.5

At the 1% significance level, what is your conclusion?

There is not sufficient evidence from the sample data to conclude that the plant food does not increase the plants' heights more than not feeding the plants.There is sufficient evidence from the sample data to conclude that the plant food does not increase the plants' heights more than not feeding the plants. There is sufficient evidence from the sample data to conclude that the plant food increases the plants' heights more than not feeding the plants.There is not sufficient evidence from the sample data to conclude that the plant food increases the plants' heights more than not feeding the plants.

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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