Assumption of a normally distributed population


personnel manager reads in a national newspaper that the average office worker wastes 4.5 hours per week by arriving late, socializing, conucting personal business, working slow, faking illness, taking long lunch hours, and sleeping on the job. By observing his officer staff, he obtains a random sample for a hypothesis test because he believes that his staff is different. The average time waster per week for 10 weeks was 4.1 hours with a standard deviation of 1.33 hours. If a hypothesis test was performed at the .01 level with an assumption of a normally distributed population, the test statistic and p-values are:

a) t-test = .95, p-value greater than .20

b) z-test = -3.01, p-value .0013

c) z-test = -3.01, p-value .0026

d) t-test = -.95, p-value greater than .20

e) t-test = -3.01, p-value between .01 and .02

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Basic Statistics: Assumption of a normally distributed population
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