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Ma rch 8 , 2010 The Dis tri bution o f Sa mple Mea ns. I ntroductio n to Hy po theses Testing 1. A company embarks on a new program to boost morale and reduce the amount of absenteeism. The company has recorded an average of 10.5 absences per employee per year with a standard deviation of 4, and an approximately normal distribution. The president of the company sets a goal of M = 7 absences per year for the employees. A random sample of 8 employees was used . The personnel director believes this goal is overly optimistic and cannot be achieved. a. Do the sample data support the director's view? Is there a significant difference between the sample data and the president' s goal? Test with alpha set at .05. b. What statistical decision would have been made in part(a) had α been set at .01? 2. People who take anti-anxiety medication often complain of drowsiness which interferes with their performance at work. A researcher investigates whether or not a new medication produces enough sedation to impair mental functioning. It is known that scores on a standardized test containing a variety of problem-
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