Answered: Daily time spent (in minutes) on the…

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

A local college newsletter reported that the average American college student spends one hour (60 minutes) on a social media website daily. But you wonder if there is a difference between males and females. Attached below is a sample of 60 users of the website (30 males and 30 females) and their recorded daily time spent on the website. Complete (a) and (b) below.

A. Assuming that the variances in the population of times spent on the website per day are equal, is there evidence of a difference in the mean time spent on the website per day between males and females? (Use a 0.05 level of significance.)

Let μ1 be the mean daily time spent on the website for male college students and μ2
be the mean daily time spent on the website for female college students. Determine the hypotheses.

Determine the test statistic.
Wha is the conclusion?

B. In addition to equal variances what other assumption is necessary in (a)?

Sample times
Daily time spent (in minutes) on the website for 30 males
210 930 30 30 10 5 690 300 60 210 210 210 270 270 150
45 90 210 40 150 30 45 45 150 60 15 45 20 150 120
Daily time spent (in minutes) on the website for 30 females
45 30 180 90 180 210
120 30 30 60 120
45
75 20
60 240
60
60
15
60
120
60 20 120
60
10 120
90 210
115

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