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
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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Question
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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