A certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hr. 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 = -2.4 and α = .05 is selected, what conclusion is appropriate?
Reject OR Fail to reject
(b) If t = -1.63 and α = .01 is selected, what conclusion is appropriate?
Reject OR Fail to reject
(c) If t = 0.57, what conclusion is appropriate?
Reject OR Fail to reject
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