Consider a population consisting of the following five values, which represent the number of video downloads during the academic year for each of five housemates. 8 13 18 11 12 (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. Calculate the mean for your sample. (c) Repeatedly select random samples of size 2, and calculate the x value for each sample until you have the x values for 25 samples. Describe your results.
Consider a population consisting of the following five values, which represent the number of video downloads during the academic year for each of five housemates. 8 13 18 11 12 (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. Calculate the mean for your sample. (c) Repeatedly select random samples of size 2, and calculate the x value for each sample until you have the x values for 25 samples. Describe your results.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Consider a population consisting of the following five values, which represent the number of video downloads during the academic year for each of five housemates.
8 13 18 11 12
(a) Compute the mean of this population.
μ =
(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. Calculate the mean for your sample.
(c) Repeatedly select random samples of size 2, and calculate the x value for each sample until you have the x values for 25 samples. Describe your results.
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(d) Construct a density histogram using the 25 x values. 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?
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