Answered: Listed below are student evaluation…

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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Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ratings were obtained at one university in a state. Construct a confidence interval using a

98%

confidence level. What does the confidence interval tell about the population of all college students in the state?

3.8,

2.9,

3.8,

4.5,

2.8,

4.1,

3.3,

4.3,

4.6,

4.2,

4.4,

3.8,

3.1,

3.8,

3.6

What is the confidence interval for the population mean

μ?

nothing<μ<nothing

(Round to two decimal places as needed.)

What does the confidence interval tell about the population of all college students in the state? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

We are confident that

98%

of all students gave evaluation ratings between

nothing

and

nothing.

(Round to one decimal place as needed.)

The results tell nothing about the population of all college students in the state, since the sample is from only one university.

We are

98%

confident that the interval from

nothing

actually contains the true mean evaluation rating.

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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