Answered: A quiz related to digital knowledge was…

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

A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies.

The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6.

We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision.

part a. Is this a one-sided or two-sided test?

part b. What is the standard error for this problem?

part c. How many degrees of freedom do we have for this problem?

part d. What is the test statistic, t, for this problem?

Based on your test statistic and degrees of freedom, the p-value will be between what two values?

(If you cannot find the exact df in the table, round down to be safe. So if you have 38 df, round down to 30df.)

Group of answer choices

The p-value is between .1 and .05

The p-value is between .05 and .025

The p-value is between .025 and .01

The p-value is between .01 and .005

part e. Do we have evidence that the mean score of the population is less than 5?

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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