certain pen has been designed so that true mean writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hours. A random sample of 17 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are  H0: μ = 10  versus  Ha: μ < 10.   (a) If  t = −2.1  and  ? = 0.05  is selected, what conclusion is appropriate? RejectFail to reject      (b) If  t = −1.73  and

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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A certain pen has been designed so that true mean writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hours. A random sample of 17 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are 
H0: μ = 10
 versus 
Ha: μ < 10.
 
(a)
If 
t = −2.1
 and 
? = 0.05
 is selected, what conclusion is appropriate?
RejectFail to reject     
(b)
If 
t = −1.73
 and 
? = 0.01
 is selected, what conclusion is appropriate?
RejectFail to reject    
(c)
If 
t = 0.27,
 what conclusion is appropriate?
Reject
Fail to reject    
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,