Suppose the probability is p = 0.36 that a person who purchases an instant lottery ticket wins money, and this probability holds for every ticket purchased. Consider different random samples of n = 36...


Suppose the probability is
p
= 0.36 that a person who purchases an instant lottery ticket wins money, and this probability holds for every ticket purchased. Consider different random samples of
n
= 36 purchased tickets. Let p̂ = sample proportion of winning tickets in a sample of 36 tickets.


(a) Give the numerical value of the mean of the sampling distribution of p̂. (Round your answer to two decimal places.)
Mean = .36


(b) Calculate the standard deviation,
s.d.
of the sampling distribution of p̂. (Round your answer to two decimal places.)

s.d.(p̂) = 0.08


(c) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round your answers to two decimal places.)
In about 68% of all randomly selected samples of
n
= 36 instant lottery tickets, the proportion of tickets that will be money winners will be between and .


(d) Use the Empirical Rule to find values that fill in the blanks in the following sentence. (Round your answers to two decimal places.)
In about 95% of all randomly selected samples of
n
= 36 instant lottery tickets, the proportion of tickets that will be money winners will be between and .




Jun 09, 2022
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