Compare the mean age of incoming students to the known mean age for all previous incoming students. A random sample of 40 incoming college freshmen was taken and was found to have a mean age 19.5 years with standard deviation of 1 year. The college database shows the mean age for previous incoming students was 18. Compute the appropriate test and make a decision.
Compare the mean age of incoming students to the known mean age for all previous incoming students. A random sample of 40 incoming college freshmen was taken and was found to have a mean age 19.5 years with standard deviation of 1 year. The college database shows the mean age for previous incoming students was 18. Compute the appropriate test and make a decision.
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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Transcribed Image Text:Compare the mean age of incoming students to the known mean age for all
previous incoming students. A random sample of 40 incoming college freshmen
was taken and was found to have a mean age 19.5 years with standard deviation
of 1 year. The college database shows the mean age for previous incoming
students was 18. Compute the appropriate test and make a decision.
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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