Consider a population consisting of the following five values, which represent the number of DVD rentals during the academic year for each of five housemates: 8 14 16 10 11 a. Compute the mean of this population. b. Select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. Compute the mean for your sample. c. Repeatedly select random samples of size 2, and compute the x value for each sample until you have the x values for 25 samples.

Consider a population consisting of the following five values, which represent the number of DVD rentals during the academic year for each of five housemates: 8 14 16 10 11 a. Compute the mean of this population. b. Select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. Compute the mean for your sample. c. Repeatedly select random samples of size 2, and compute the x value for each sample until you have the x values for 25 samples.

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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Question

1. Consider a population consisting of the following five values, which represent the number of DVD rentals
during the academic year for each of five housemates:
8 14 16 10 11

a. Compute the mean of this population.
b. Select a random sample of size 2 by writing the
five numbers in this population on slips of paper,
mixing them, and then selecting two. Compute
the mean for your sample.
c. Repeatedly select random samples of size 2, and
compute the x value for each sample until you
have the x values for 25 samples.

d. Construct a density histogram using the 25 x val-
ues. Are most of the x values near the population

mean? Do the x values differ a lot from sample to
sample, or do they tend to be similar?

Expert Solution