Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test H0 : μ1=μ2 vs Ha : μ1>μ2 using the sample results x¯1=56, s1=8.2 with n1=30 and x¯2=51, s2=6.9 with n2=40.           (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value =             (b) What is the conclusion of the test? Test at a 5% level.     Reject H0.   Do not reject H0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Chapter 6, Section 4-HT, Exercise 209

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μ1=μ2 vs Ha : μ1>μ2 using the sample results x¯1=56, s1=8.2 with n1=30 and x¯2=51, s2=6.9 with n2=40.
 
 
 
 
 

(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic =

p-value =

 
 

 
 
 
 
(b) What is the conclusion of the test? Test at a 5% level.


 

 

Reject H0.

 

Do not reject H0.
 
 
 

 

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,