A math test uses a sample of 16 students with a mean score of 78 and another sample of 21 students with a mean score of 82. Is there any evidence that one class is better than the other at .01 level of significance if the sample variance of the former is 5 and the latter 8?
A math test uses a sample of 16 students with a mean score of 78 and another sample of 21 students with a mean score of 82. Is there any evidence that one class is better than the other at .01 level of significance if the sample variance of the former is 5 and the latter 8?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Question
Solve using following 7 steps/format provided in picture. Required to do the 7 steps provided in pic. Write readable thanks.
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.
Transcribed Image Text:A math test uses a sample of 16 students with a mean score of 78 and another
sample of 21 students with a mean score of 82. Is there any evidence that one
class is better than the other at .01 level of significance if the sample variance of
the former is 5 and the latter 8?
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