Answered: Interpret the results. Select the…

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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Related questions

Question

In a random sample of

seven

people, the mean driving distance to work was

22.1

miles and the standard deviation was

5.1

miles. Assuming the population is normally distributed and using the t-distribution, a

95%

confidence interval for the population mean

(17.4, 26.8)

(and the margin of error is

4.7).

Through research, it has been found that the population standard deviation of driving distances to work is

5.6.

Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a

95%

confidence interval for the population mean

μ.

Interpret and compare the results.

Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

It can be said that

enter your response here

of the population has a driving distance to work (in miles) that is between the interval's endpoints.

enter your response here

of all random samples of

seven

people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.

With

enter your response here

confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.

With

enter your response here

confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.

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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