GenderHours online/weekmale7male15male5male3male6male4male10male4male6male8male6male4male5female4female10female9female5female7female12female2female6female2female6female8female4female4female5female9female12female2female7female2female7Using the following data and a two-sample hypothesis test, determine if the mean number of hours spent online per week is the same for males as it is females. First state your hypothesis, and using a level of significance of 0.05 state your conclusion to your hypothesis.

Answered: Using the following data and a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Gender	Hours online/week
male	7
male	15
male	5
male	3
male	6
male	4
male	10
male	4
male	6
male	8
male	6
male	4
male	5
female	4
female	10
female	9
female	5
female	7
female	12
female	2
female	6
female	2
female	6
female	8
female	4
female	4
female	5
female	9
female	12
female	2
female	7
female	2
female	7

Using the following data and a two-sample hypothesis test, determine if the mean number of hours spent online per week is the same for males as it is females. First state your hypothesis, and using a level of significance of 0.05 state your conclusion to your hypothesis.

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

Step 1

Let $μ_{M}$ be the population mean number of hours spent online per week for males, $μ_{F}$ be the population mean number of hours spent online per week for females. The claim is that the mean number of hours spent online per week is the same for males as it is females. The hypothesis is,

Null hypothesis:

$H_{0} : μ_{M} = μ_{F}$

Alternative hypothesis:

$H_{a} : μ_{M} \neq μ_{F}$

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