Answered: **Educational Content:** **Average…

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

Science major in college pay an average of $130, whereas English majors pay an average of $465 per year for books with an standard deviation of $90. What is the mean difference and standard deviation between the amounts paid for books by science and English majors?

**Educational Content:**

**Average Cost and Standard Deviation for Books by Major**

Science majors in college pay an average of $650 per year for books, with a standard deviation of $130. Conversely, English majors pay an average of $557.50 per year, with a standard deviation of $90. What is the mean difference and standard deviation between the costs paid by science and English majors?

**Options:**

A.
- Mean Difference ($ \mu_{\text{difference}} $) = $92.50
- Standard Deviation ($ \sigma_{\text{difference}} $) = $15
- [Go to Question #7]

B.
- Mean Difference ($ \mu_{\text{difference}} $) = $185
- Standard Deviation ($ \sigma_{\text{difference}} $) = $220
- [Go to Question #6]

C.
- Mean Difference ($ \mu_{\text{difference}} $) = $185
- Standard Deviation ($ \sigma_{\text{difference}} $) = $158
- [Go to Question #4]

D.
- Mean Difference ($ \mu_{\text{difference}} $) = $557.50
- Standard Deviation ($ \sigma_{\text{difference}} $) = $220
- [Go to Question #3]

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