Archery. A champion archer can generally hit the bull’s-eye 80% of the time. Suppose she shoots 200 arrows during competition. Let pn represent the percentage ofbull’s-eyes she gets (the sample proportion).a) What are the mean and standard deviation of thesampling distribution model for pn?b) Is a Normal model appropriate here? Explain.c) Sketch the sampling model, using the 68–95–99.7 Rule.d) What’s the probability that she gets at least 85%bull’s-eyes?
Archery. A champion archer can generally hit the bull’s-eye 80% of the time. Suppose she shoots 200 arrows during competition. Let pn represent the percentage ofbull’s-eyes she gets (the sample proportion).a) What are the mean and standard deviation of thesampling distribution model for pn?b) Is a Normal model appropriate here? Explain.c) Sketch the sampling model, using the 68–95–99.7 Rule.d) What’s the probability that she gets at least 85%bull’s-eyes?
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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Archery. A champion archer can generally hit the bull’s-
eye 80% of the time. Suppose she shoots 200 arrows
eye 80% of the time. Suppose she shoots 200 arrows
during competition. Let pn represent the percentage of
bull’s-eyes she gets (the sample proportion).
a) What are the mean and standard deviation of the
sampling distribution model for pn?
b) Is a Normal model appropriate here? Explain.
c) Sketch the sampling model, using the 68–95–99.7 Rule.
d) What’s the probability that she gets at least 85%
bull’s-eyes?
bull’s-eyes she gets (the sample proportion).
a) What are the mean and standard deviation of the
sampling distribution model for pn?
b) Is a Normal model appropriate here? Explain.
c) Sketch the sampling model, using the 68–95–99.7 Rule.
d) What’s the probability that she gets at least 85%
bull’s-eyes?
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