Assume both follow a Normal distribution. What can be concluded at the a = .01 level of significance? Round all answers to 4 places where possible. Step (1) Determine the null and alternative hypotheses. Ho: 1 Ha: μ1 Step (2) Determine the test statistic and p-value. Test Statistic: t = 3.8232 p-value = 0.0007 tv = 2.583 Step (3) Find the critical value for the rejection region (Use 林 Reject the null hypothesis. O Fail to reject the null hypothesis. Make a decision using the rejection region method. Step (4) Compare the p-value to alpha P-value s 2 38 ✔✔¤ μ2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Assume both follow a Normal distribution. What can be concluded at the a = .01 level of significance?
Round all answers to 4 places where possible.
Step (1) Determine the null and alternative hypotheses.
Ho: 1
Ha: ul
6
Step (2) Determine the test statistic and p-value.
Test Statistic: tv 3.8232
A
p-value = 0.0007
Step (3) Find the critical value for the rejection region (Use
tv
Oll
Reject the null hypothesis.
O Fail to reject the null hypothesis.
D 2.583
Step (4) Compare the p-value to alpha
Make a decision using the rejection region method.
P-values
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Transcribed Image Text:Assume both follow a Normal distribution. What can be concluded at the a = .01 level of significance? Round all answers to 4 places where possible. Step (1) Determine the null and alternative hypotheses. Ho: 1 Ha: ul 6 Step (2) Determine the test statistic and p-value. Test Statistic: tv 3.8232 A p-value = 0.0007 Step (3) Find the critical value for the rejection region (Use tv Oll Reject the null hypothesis. O Fail to reject the null hypothesis. D 2.583 Step (4) Compare the p-value to alpha Make a decision using the rejection region method. P-values & 7 O * 8 ✓μ2 10 O acer * 9 4 ) 0 μ2 >> || + = G D ES Nov 9 page up backspace delete page
t
S
J
b
Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work
less volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked
for 9 randomly selected fraternity brothers and 9 randomly selected sorority sisters. Assume both populations are
normally distributed and average 1 is the average hours of community service worked by fraternity borothers.
Brothers:
Sisters:
A
6
9
11 15 6 5
15
20
Assume both follow a Normal distribution. What can be concluded at the a= .01 level of significance?
Round all answers to 4 places where possible.
Step (1) Determine the null and alternative hypotheses.
Ho: 1
Oll
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below, or select another question
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Transcribed Image Text:t S J b Members of fraternities and sororities are required to volunteer for community service. Do fraternity brothers work less volunteer hours on average than sorority sisters? The data below show the number of volunteer hours worked for 9 randomly selected fraternity brothers and 9 randomly selected sorority sisters. Assume both populations are normally distributed and average 1 is the average hours of community service worked by fraternity borothers. Brothers: Sisters: A 6 9 11 15 6 5 15 20 Assume both follow a Normal distribution. What can be concluded at the a= .01 level of significance? Round all answers to 4 places where possible. Step (1) Determine the null and alternative hypotheses. Ho: 1 Oll y h below, or select another question 13 14 10 7 n 16 18 11 14 13 19 17 НА & 7 u COPEN j 1 O 3 * 8 acer i k O ( 9 < 1 alt O 42 ) 0 > ctrl E р 112 : ; ➜ ? 1 { [ < 11 1 ED + }) 1 page up backspace delete / - enter shift A 7 Nov 9 page dn 4 1 1 8 5:34 0 home 5 * 2 0 9 end 6 3
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