Answered: Mr. Van Miller would like to estimate…

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

Mr. Van Miller would like to estimate the population mean for the Final test marks for the law module. He randomly selects final test marks (%) from 29 students from the 2020 class. This sample yields a mean mark of 54% and a standard deviation of 26.31%. It is assumed that the marks come from a normal distribution. To estimate the population mean mark, Mr. Van Miller insists on determining a 98% confidence interval.

Use this information to answer the following questions:

a. Determine the critical value:

b. Determine the margin of error:

c. The lower limit of the confidence interval is:

d. The upper limit of the confidence interval is:

e. Choose the correct answer

(1) Interpretation :Mr. Van Miller is 98% confident that the caculed interval contains the population mean mark

(2) Interpretation : 98% confident that the calculed interval contains the population mean mark

(3) Interpretation : the population mean mark will fall within the calculated confidence interval 98% of time

(4) Interpretation : There is 98 % chance that the pop. mean mark is in the calculated inteval

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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