A personality test was administered to 17 males and 12 females in a public school. With the data given below, test whether the females differed in their personality from that of the males. Higher scores indicate better personality traits using 0.01 level of significance? Females 18, 19, 22, 24, 25, 25, 26, 27, 30, 32, 36, 36 Males-13, 16, 17, 19, 20, 20, 21, 21, 24, 24, 26, 27, 28, 30, 32, 32, 33

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
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
NOW
(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: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 NOW (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.
A personality test was administered to 17 males and 12 females in a public
school. With the data given below, test whether the females differed in their
personality from that of the males. Higher scores indicate better personality traits
using 0.01 level of significance?
Females- 18, 19, 22, 24, 25, 25, 26, 27, 30, 32, 36, 36
Males-13, 16, 17, 19, 20, 20, 21, 21, 24, 24, 26, 27, 28, 30, 32, 32, 33
Transcribed Image Text:A personality test was administered to 17 males and 12 females in a public school. With the data given below, test whether the females differed in their personality from that of the males. Higher scores indicate better personality traits using 0.01 level of significance? Females- 18, 19, 22, 24, 25, 25, 26, 27, 30, 32, 36, 36 Males-13, 16, 17, 19, 20, 20, 21, 21, 24, 24, 26, 27, 28, 30, 32, 32, 33
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