A Certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of 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) tested t=-2.3 and a=0.05? C- What conclusion is appropriate if the hypotases see of part (a) are tested, t=-1.8 and a=0.01? D- What should be concluded if the hypotheses of part (a) are tested and t =-3.6?

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A Certain pen has been designed so that true average writing lifetime under controlled conditions
(involving the use of 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) tested t=-2.3 and a=0.05?
C- What conclusion is appropriate if the hypotases see of part (a) are tested, t=-1.8 and a=0.01?
D- What should be concluded if the hypotheses of part (a) are tested and t =-3.6?
Transcribed Image Text:A Certain pen has been designed so that true average writing lifetime under controlled conditions (involving the use of 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) tested t=-2.3 and a=0.05? C- What conclusion is appropriate if the hypotases see of part (a) are tested, t=-1.8 and a=0.01? D- What should be concluded if the hypotheses of part (a) are tested and t =-3.6?
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