Lesson:Hypothesis Testing: Testing the Population Mean 3. The operations manager of a sales company wants to see whether there is a significant difference inthe ages of male and female customers. He selected a sample of 35 samples for each group. The agesare shown in the table below:Malex₁ = 27.3Femalex₂ = 28%₂= 3.1o₂ = 2.4n₁ = 35n₂ = 35At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of thetwo groups.Solution:Step 1: Null and alternative hypothesisH₂:H₂:Step 2: Significance levelα =Step 3: Test statistic:Step 4: Decision rule:Step 5: Decision:

Introduction: Denote μ1, μ2 as the true mean ages of male and female customers at the sales company.

Answered: 3. The operations manager of a sales…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Lesson: Hypothesis Testing: Testing the Population Mean

3. The operations manager of a sales company wants to see whether there is a significant difference in
the ages of male and female customers. He selected a sample of 35 samples for each group. The ages
are shown in the table below:
Male
x₁ = 27.3
Female
x₂ = 28
%₂= 3.1
o₂ = 2.4
n₁ = 35
n₂ = 35
At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the
two groups.
Solution:
Step 1: Null and alternative hypothesis
H₂:
H₂:
Step 2: Significance level
α =
Step 3: Test statistic:
Step 4: Decision rule:
Step 5: Decision:

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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