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 hours. A random sample of 18 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data supports the use of a one-sample t test.
a. What hypotheses should be tested if the investigators believe a priori that the design specification has been satisfied?
b. What conclusion is appropriate if the hypotheses of part (a) are tested,t = –2.3, and α = .05?
c. What conclusion is appropriate if the hypotheses of part (a) are tested, t = –1.8, and α = .01?
d. What should be concluded if the hypotheses of part (a) are tested and t = –3.6 ?
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