5.11 Use the computer to generate 500 samples, each containing n = 25 measurements, from a population that contains values of x equal to 1, 2,..., 48, 49, 50. Assume that these values of x are equally likely. Calculate the sample mean and median m for each sample. Construct relative frequency histograms for the 500 values of and the 500 values of m. Use these approximations to the sampling distributions of and m to answer the following questions: a. Does it appear that I and m are unbiased estimators of the population mean? [Note: μ = 25.5.]

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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5.11 Use the computer to generate 500 samples, each containing
n = 25 measurements, from a population that contains values of x
equal to 1, 2,..., 48, 49, 50. Assume that these values of x are equally
likely. Calculate the sample mean and median m for each sample.
Construct relative frequency histograms for the 500 values of and the
500 values of m. Use these approximations to the sampling
distributions of and m to answer the following questions:
a. Does it appear that I and m are unbiased estimators of the
population mean? [Note: μ = 25.5.]
Transcribed Image Text:5.11 Use the computer to generate 500 samples, each containing n = 25 measurements, from a population that contains values of x equal to 1, 2,..., 48, 49, 50. Assume that these values of x are equally likely. Calculate the sample mean and median m for each sample. Construct relative frequency histograms for the 500 values of and the 500 values of m. Use these approximations to the sampling distributions of and m to answer the following questions: a. Does it appear that I and m are unbiased estimators of the population mean? [Note: μ = 25.5.]
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