Answered: Angela and Karissa are two friends who…

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

Angela and Karissa are two friends who say they have no previous knowledge of statistics. They are going to take a placement test to see if they should start at the introductory level or not.

The placement test is a multiple-choice test with 93 questions. Each question has 4 multiple-choice options with exactly one correct answer.

What is the expected number (mean) of correct answers if a student were to randomly guess? (Do not round)

What is the standard deviation for the number of correct answers if a student were to randomly guess? (Round to two decimal places)

The usual number of correct answers, if a student were to randomly guess, would be to . (Round to the nearest whole number that would be within the interval.)

What is the probability of getting 21 or more questions correct if you are randomly guessing? (Round to four decimal places.)

What is the probability of getting 61 or more questions correct if you are randomly guessing? (Round to four decimal places.)

Angela got 21 questions correct.

Karissa got 61 questions correct.

Is it reasonable to believe that Angela had no prior knowledge of statistics?

Why or why not?

Is it reasonable to believe that Karissa had no prior knowledge of statistics?

Why or why not?

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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