(c) What conclusion is appropriate if the hypotheses of part (a) are tested, t =

Question

(c) What conclusion is appropriate if the hypotheses of part (a) are tested, t = ?1.8, and ? = 0.01? (Round your P-value to three decimal places.)
P-value = ?

(d) What conclusion is appropriate if the hypotheses of part (a) are tested, t = ?3.6, and ? = 0.01? (Round your P-value to three decimal places.)
P-value = ?

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 15 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? Ho: = 10 Ha: 10 (b) what conclusion is appropriate if the hypotheses of part (a) are tested, t--23, and = 0.057(Round your p-value to three decimal places.) P-value0.982 e= 0.982

Explanation / Answer

A) the correct representation for the null hypothesis and the alternate hypothesis is given in option a as the mean = 10

and the alternate will be less then 10. hence option a is correct

b) we need to get the p value for p = -2.3

the degree of freedom = 14

alpha = 0.05

the p value comes out to be = 0.018675

c) we have to give the p value for t value = -1.8

for degree of freedom = 15-1 = 14

the p value comes out to be 0.04672

d) now we need to find the p value for t = -3.6

for degree of freedom = 14

the p value = 0.001449

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