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1. General: Suppose that x has a distribution with µ = 72 and σ = 8.
(a) If random sample of size n = 16 are selected, can we say anything about the xbar distribution of sample means?
(b) If the original x distribution is normal, can we say anything about the xbar distribution of random samples of size 16? Find P (68 ≤ x ≤73).
2. Vital Statistics: Heights of men The heights of 18 year old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches.
(a) What is the probability that an 18 year old man selected at random is between 67 and 69 inches tall?
(b)If random sampling of nine 18 year old men is selected, what is the probability that the mean height xbar is between 67 and 69 inches?
(c) Compare your answers for parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
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Crystal Ball requires the following steps:
A state survey investigates either the proportion of 8percent for employees who commute by car to work is higher than it was five years ago.
What can we conclude from these figures at a level of significance of .01?
Given that P (A) = 0.7, P (B) = 0.5, and P (A B) = 0.8. Find the following probabilities:
Draw the graph of the regression line on the same plot as the scatter diagram above.
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