SOLUTION: Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 55 minutes and standard deviation of 6 minutes. Suppose the time betwe
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Question 1186174: Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 55 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 40 times. The average of this sample, x-bar, is a random variable that comes from a specific probability distribution.
a) Calculate the probability that the mean time for the sample of 40 observations will be between 54 and 56 minutes.
P(54 <= x-bar <= 56)
Hint: you can use the sampling distribution parameters and the pnorm() function in R. Round your answer to 3 decimal places.
b) How likely is it that the average time will exceed 57 minutes? P(x >= 57)
Round your answer to three decimal places. Answer by Alan3354(69443) (Show Source):
