Tutorial 4 Questions

Tutorial 4 Questions - Question 1 | p 277 4.124 The number...

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Question 1 | p. 277, 4.124 The number of auto accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution takes only whole-number values, so it certainly is not Normal. a) Let ´ x be the number of accidents per week at the intersection during the year (52 weeks). What is the approximate distribution of ´ x according to the central limit theorem? b) What is the approximate probability that ´ x is less than 2? c) What is the approximate probability that there are fewer than 100 accidents at the intersection in a year? Question 2 You are looking to purchase a new car, and you have narrowed your decision down to two types, A and B. Both cost the same, so you will base your purchase on each car’s miles per gallon. Rather conveniently, you have access to sample data on the mpg for each type of car. The data are shown below: Type Sample Size Average mpg Standard Dev. of mpg A 20 25 5 B 32 33 20 a) Compute a 95% confidence interval of the mean miles per gallon for cars of type A. Assume the underlying population is Normal.
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