hypothesis

Mzumbe University Faculty of Science and Technology Department of Mathematics and Statistics Studies QMS 105: Individual Assignment Topic: Statistical Hypothesis Testing Question 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 support the use of a one- sample ttest. [a)What hypotheses should be tested if the investigators believe a priorl that the design specication has been satised? (b) What conclusion is appropriate if the hypotheses of part (a) are tested, t= -2.3, a = 0.05? [c)What conclusion is appropriate if the hypotheses of part (a) are tested, t= -l.8, a: 0.01? (d) What should be concluded if the hypotheses of part (a) are tested a = 0.1 and t= -3.6? IMPORTANT INDIVIDUAL ASSIGNMENT II TO BE SUBMITTED As A HARD COPY ON OR BEFORE 12:00 NOON, 22"\" JULY, 2021