AP Exam A small class of five statistics students receivedthe following scores on their AP Exam: 5, 4, 4, 3, 1.a) Calculate the mean and standard deviation of thesefive scores.b) List all possible sets of size 2 that could be chosenfrom this class. (There are 5C2 = 10 such sets.) c) Calculate the mean of each of these sets of 2 scoresand make a dotplot of the sampling distribution of thesample mean. d) Calculate the mean and standard deviation of this sam-pling distribution. How do they compare to those of the individual scores? Is the sample mean an unbiasedestimator of the population mean?
AP Exam A small class of five statistics students receivedthe following scores on their AP Exam: 5, 4, 4, 3, 1.a) Calculate the mean and standard deviation of thesefive scores.b) List all possible sets of size 2 that could be chosenfrom this class. (There are 5C2 = 10 such sets.) c) Calculate the mean of each of these sets of 2 scoresand make a dotplot of the sampling distribution of thesample mean. d) Calculate the mean and standard deviation of this sam-pling distribution. How do they compare to those of the individual scores? Is the sample mean an unbiasedestimator of the population mean?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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AP Exam A small class of five statistics students received
the following scores on their AP Exam: 5, 4, 4, 3, 1.
a) Calculate the mean and standard deviation of these
five scores.
b) List all possible sets of size 2 that could be chosen
from this class. (There are 5C2 = 10 such sets.)
c) Calculate the mean of each of these sets of 2 scores
and make a dotplot of the sampling distribution of the
sample mean.
and make a dotplot of the sampling distribution of the
sample mean.
d) Calculate the mean and standard deviation of this sam-
pling distribution. How do they compare to those of
pling distribution. How do they compare to those of
the individual scores? Is the sample mean an unbiased
estimator of the population mean?
estimator of the population mean?
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