b. The test statistic t OB c. The p-value = = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Members of fraternities and sororities are required to volunteer for community service. Do fraternity
brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below
show the number of volunteer hours worked for twelve randomly selected fraternity brothers and thirteen
randomly selected sorority sisters.
Brothers: 12 12 12 14
12 4
Sisters: 8 6 7 2 5
3 7 666
Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance
level of significance?
For this study, we should use t-test for the difference between two independent population means ✓
Ho: μ1
OF
8
8 8
H₁: µ1
OT
OF
b. The test statistic tv
a. The null and alternative hypotheses would be:
Ơ
c. The p-value
d. The p-value is ≤ ✓
α
10
4 2
=
4
5
13 7 5 7
μ2
μ2
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Transcribed Image Text:Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters? The data below show the number of volunteer hours worked for twelve randomly selected fraternity brothers and thirteen randomly selected sorority sisters. Brothers: 12 12 12 14 12 4 Sisters: 8 6 7 2 5 3 7 666 Assume both follow a Normal distribution. What can be concluded at the a = 0.10 level of significance level of significance? For this study, we should use t-test for the difference between two independent population means ✓ Ho: μ1 OF 8 8 8 H₁: µ1 OT OF b. The test statistic tv a. The null and alternative hypotheses would be: Ơ c. The p-value d. The p-value is ≤ ✓ α 10 4 2 = 4 5 13 7 5 7 μ2 μ2 (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
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