MAT 167: Statistics Midterm Exam Instructor: Anthony Tanbakuchi ...
MAT 167: Statistics Midterm Exam Instructor: Anthony Tanbakuchi ...
MAT 167: Statistics Midterm Exam Instructor: Anthony Tanbakuchi ...
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<strong>MAT</strong> <strong>167</strong>: <strong>Statistics</strong>, <strong>Midterm</strong> <strong>Exam</strong> p. 8 of 10<br />
18. (2 points) With one method of a procedure called acceptance sampling, a sample of items is<br />
randomly selected without replacement and the entire batch is accepted if every item in the<br />
sample is okay. The Niko Electronics Company has just manufactured 10,000 CDs, and 500<br />
are defective. If 10 of the CDs are randomly selected for testing without replacement, what is<br />
the probability that the entire batch will be accepted<br />
19. Engineers must consider the breadths of male heads when designing motorcycle helmets. Men<br />
have head breadths that are normally distributed with a mean of 6.0 in and a standard deviation<br />
of 1.0 in (based on anthropometric survey data from Gordon, Churchill, et al.).<br />
(a) (2 points) If 1 man is randomly selected, find the probability that his head breadth is<br />
between 6.1 and 6.6 inches.<br />
(b) (2 points) If 1 man is randomly selected, find the probability that his head breadth is less<br />
than 6.1 in.<br />
(c) (2 points) If 30 men are randomly selected, find the probability that their mean head<br />
<strong>Instructor</strong>: <strong>Anthony</strong> <strong>Tanbakuchi</strong> Points earned: / 8 points
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