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Stat 100
Exam 3 B
Spring 2003
Calclllators allowed. Allwork must be shown to receive full credit.
1. Birth weights of infants are normally distributed with a mean of7.5 pounds and standard
deviation.9 pounds. Based on this data:
a) (8 pts) find a 90% error margin for the mean weight of infants
b) (8 pts) find a 95% confidence interval for the mean weight.
c) (9 pts) If the standard deviation is 1 pound, what sample size is required so that a 98% error
margin is .2 pounds?
2. To estimate the proportion of car owners who purchase more than $1,000,000 of liability
coverage for their vehicles, a random sample of 400 car owners is taken, of which 56 have this
coverage. Does this support the claim that the proportion is less than 15%? Test the claim at
the 5% level by the following steps.
a) (6 pts) Formulate the null and alternative hypotheses.
b) (6 pts) Determine the rejection region.
c) (6 pts) Determine the observed value of the test statistic.
d) (7 pts) State your conclusion...

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