A study randomly selected 676 Canadians and asked them what portion of their income they allocate to savings/investments. The average found was 28%. Suppose the population mean is 24.8% and the standard deviation is 3.2%. Determine the parameter, estimator, and estimate. What is the distribution of the estimator? а. b. What is the probability that the estimate is greater than 26%? c. What is the probability that the estimate is between 20% and 30%? d. What sample size would be needed if the researchers want the standard deviation of the estimator to be less than or equal to 0.01%?

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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A study randomly selected 676 Canadians and asked them what portion of their income
they allocate to savings/investments. The average found was 28%. Suppose the population
mean is 24.8% and the standard deviation is 3.2%.
Determine the parameter, estimator, and estimate. What is the distribution of the
estimator?
а.
b. What is the probability that the estimate is greater than 26%?
c. What is the probability that the estimate is between 20% and 30%?
d. What sample size would be needed if the researchers want the standard deviation of
the estimator to be less than or equal to 0.01%?
Transcribed Image Text:A study randomly selected 676 Canadians and asked them what portion of their income they allocate to savings/investments. The average found was 28%. Suppose the population mean is 24.8% and the standard deviation is 3.2%. Determine the parameter, estimator, and estimate. What is the distribution of the estimator? а. b. What is the probability that the estimate is greater than 26%? c. What is the probability that the estimate is between 20% and 30%? d. What sample size would be needed if the researchers want the standard deviation of the estimator to be less than or equal to 0.01%?
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