(c) Observe that for 19 95%of the samples, the confidence interval of95%contains the population mean. Choose the twenty correct statement. When calculating confidence intervals of95%fortweatyples of equal size from the population, it is possible that more or less than95%of the samples contain the population mean. O When calculating confidence intervals of95%fortwsatyples of equal size from the population, exactly the95% of the samples will contain the population mean. O When calculating confidence intervals of95%fortwsatyples of equal size from the population, at most95% of the samples will contain the population mean. X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question
M13141.2 138.2 144.2 136.6 145.8
M14136.4 133.4 139.4 131.8 141.0
M15140.9 137.9 143.9 136.3 145.5
M16143.7 140.7 146.7 139.1 148.3
M17139.6 136.6 142.6 135.0 144.2
M18136.3 133.3 139.3 131.7 140.9
M19141.8 138.8 144.8 137.2 146.4
M20139.7 136.7 142.7 135.1 144.3
(c) Observe that for-
128.0
correct statement.
150.0 128.0
19
=95%of the samples, the confidence interval of95%contains the population mean. Choose the
twenty
150.0
When calculating confidence intervals of95%fortweatyples of equal size from the population, it is possible that more
or less than95%of the samples contain the population mean.
When calculating confidence intervals of 95%fortweatyples of equal size from the population, exactly the95% of the
samples will contain the population mean.
When calculating confidence intervals of95%fortweatyples of equal size from the population, at most95%of the
samples will contain the population mean.
X
5
Transcribed Image Text:M13141.2 138.2 144.2 136.6 145.8 M14136.4 133.4 139.4 131.8 141.0 M15140.9 137.9 143.9 136.3 145.5 M16143.7 140.7 146.7 139.1 148.3 M17139.6 136.6 142.6 135.0 144.2 M18136.3 133.3 139.3 131.7 140.9 M19141.8 138.8 144.8 137.2 146.4 M20139.7 136.7 142.7 135.1 144.3 (c) Observe that for- 128.0 correct statement. 150.0 128.0 19 =95%of the samples, the confidence interval of95%contains the population mean. Choose the twenty 150.0 When calculating confidence intervals of95%fortweatyples of equal size from the population, it is possible that more or less than95%of the samples contain the population mean. When calculating confidence intervals of 95%fortweatyples of equal size from the population, exactly the95% of the samples will contain the population mean. When calculating confidence intervals of95%fortweatyples of equal size from the population, at most95%of the samples will contain the population mean. X 5
(b) Press the "Generate Samples" button below to simulate taking samples. 19plus size samplesn95of the population. Note that the confidence intervals
for these samples are drawn automatically. Then complete parts (c) and (d) below the table.
80% 80% 95% 95%
X
upper lower
limit limit
?
upper
limit
M1 141.3 ?
?
?
142.0
134.4
143.6
m2 139.0 136.0
M3 141.7 138.7
144.7 137.1 146.3
M4 143.7 140.7
146.7
139.1 148.3
M5 141.5 138.5
144.5 136.9 146.1
146.1
M6 141.5 138.5
144.5 136.9
M7 139.9 136.9
142.9 135.3 144.5
M8 136.3 133.3 139.3 131.7 140.9
M9 142.0 139.0 145.0 137.4 146.6
M10138.5 135.5 141.5 133.9 143.1
M11145.2 142.2 148.2
140.6
149.8
M12140.2 137.2 143.2 135.6 144.8
lower
limit
80% confidence intervals
95% confidence intervals
Transcribed Image Text:(b) Press the "Generate Samples" button below to simulate taking samples. 19plus size samplesn95of the population. Note that the confidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table. 80% 80% 95% 95% X upper lower limit limit ? upper limit M1 141.3 ? ? ? 142.0 134.4 143.6 m2 139.0 136.0 M3 141.7 138.7 144.7 137.1 146.3 M4 143.7 140.7 146.7 139.1 148.3 M5 141.5 138.5 144.5 136.9 146.1 146.1 M6 141.5 138.5 144.5 136.9 M7 139.9 136.9 142.9 135.3 144.5 M8 136.3 133.3 139.3 131.7 140.9 M9 142.0 139.0 145.0 137.4 146.6 M10138.5 135.5 141.5 133.9 143.1 M11145.2 142.2 148.2 140.6 149.8 M12140.2 137.2 143.2 135.6 144.8 lower limit 80% confidence intervals 95% confidence intervals
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