After selecting a random sample of 28 people from a very large population, they want to determine if the average age of the sample is representative of the average age of the population. The mean age of the population is 33. From sample, the mean age is 26 and the standard deviation is 3.4. Is the mean age of the sample significantly different from the mean age in the population?
After selecting a random sample of 28 people from a very large population, they want to determine if the average age of the sample is representative of the average age of the population. The mean age of the population is 33. From sample, the mean age is 26 and the standard deviation is 3.4. Is the mean age of the sample significantly different from the mean age in the population?
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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Solve using 7 steps/format provided in picture. Required to do the 7 steps provided in pic. Write readable thanks.
Transcribed Image Text:After selecting a random sample of 28 people from a very large population, they
want to determine if the average age of the sample is representative of the
average age of the population. The mean age of the population is 33. From
sample, the mean age is 26 and the standard deviation is 3.4. Is the mean age
of the sample significantly different from the mean age in the population?
Transcribed Image Text:Solution
1.
Ho: The average life span today is not greater than 72 years.
Ha: The average life span today is greater than 72 years.
0.05
2.
3. t-test (one-tailed)
4. df=n-1
df=100-1=99
t₁ = 1.66 Tabular value
5. Computation using the formula for sample mean compared with population mean
tc =
Substitute the given values in the formula
tc
(x-μ)√n
S
=
F = 69
= 72
μ
n = 100
S = 8.9
HOW
(69-72)√/100
8.9
tc = -3.37
6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66.
Therefore, we reject our null hypothesis (Ho).
7. Formulate conclusion: The average life span today is greater than 72 years.
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