Answered: The IE Dept. is interested in the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The IE Dept. is interested in the mean age of a certain population. A random sample of 10 individuals drawn from the population has a mean of 27. Assuming that the population is approximately normally distributed with variance 20, can we conclude that the mean is different from 30 years ? (α=0.10)

1) What is the null and alternative hypothesis? choose the letter of you answer Blank 1

a Ho : μ=30 and Ha : μ < 30

b Ho : μ=30 and Ha : μ > 30

c Ho : μ=30 and Ha : μ ≠ 30

2) What is the critical region? Choose the letter of you answer Blank 2

a + /- 1.96

b +/- 1.645

c +/- 1.0

d +/- 1.33-1.96

3) What is the computed test statistic? Choose the letter of you answer Blank 3

a Z = -2.12

b T = -2.12

c Z = -0.47

d T = -0.47

4) Can we conclude that the mean is different from 30 years ? Choose the letter of you answer Blank 4

a Yes, we can conclude that the mean is different from 30.

b No, we cannot conclude that the mean is different from 30.

c Yes, we can conclude that the mean is less than 30.

d No, we can conclude that the mean is greater than 30.

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 + ...

Expert Solution