Suppose the probability is p = 0.4 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 = 24 purchased tickets. Let p = sample proportion of winning tickets in a sample of 24 tickets. (a) Give the numerical value of the mean of the sampling distribution of p. (Round your answer to two decimal places.) Mean = (b) Calculate the standard deviation, s.d. of the sampling distribution of p. (Round your answer to two decimal places.) s.d.(p) = (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 = 24 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 = 24 instant lottery tickets, the proportion of tickets that will be money winners will be between and
Suppose the probability is p = 0.4 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 = 24 purchased tickets. Let p = sample proportion of winning tickets in a sample of 24 tickets. (a) Give the numerical value of the mean of the sampling distribution of p. (Round your answer to two decimal places.) Mean = (b) Calculate the standard deviation, s.d. of the sampling distribution of p. (Round your answer to two decimal places.) s.d.(p) = (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 = 24 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 = 24 instant lottery tickets, the proportion of tickets that will be money winners will be between and
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose the probability is p = 0.4 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 = 24 purchased tickets. Let p̂ = sample proportion of winning tickets in a sample of 24 tickets.
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