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Elementary Statistics

Written Assignment 6

Sections 6.1-6.3


1.    (3 pts) The

lengths of the sardines received by a certain cannery are normally distributed with mean 4.62 inches and a standard deviation 0.23 inch. What percentage of all these sardines is between 4.35 and 4.85 inches long?

2.    (3 pts) Suppose that the weight (X) in pounds, of a 40-year-old man is a normal random variable with standard deviation σ = 20 pounds. If 5% of this population is heavier than 214 pounds what is the mean μ of this distribution?

3.    (4 pts) Find the probability of :

a.    z-score is greater than -1.58

b.    z-score is less than 2.19

c.    z-score between -0.89 and 1.06

Top Answer

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