2. If not already set by default, set "Distribution" to "Normal", "Sample size" to "100", "Mean" to "50", "Std. dev." to "10", "Interval type" to "z". Then click the "Update applet" button. Set the "CI Level" to "0.95", if not already set as such. You should see 100 confidence intervals appear as horizontal lines with a point in the middle. Some are red, most should be green. a. According to the table, how many of the 100 "Total" intervals are "Containing mu"? How should this value be related to the confidence level ("CI Level")? 94 of the 100 intervals contain mu.
2. If not already set by default, set "Distribution" to "Normal", "Sample size" to "100", "Mean" to "50", "Std. dev." to "10", "Interval type" to "z". Then click the "Update applet" button. Set the "CI Level" to "0.95", if not already set as such. You should see 100 confidence intervals appear as horizontal lines with a point in the middle. Some are red, most should be green. a. According to the table, how many of the 100 "Total" intervals are "Containing mu"? How should this value be related to the confidence level ("CI Level")? 94 of the 100 intervals contain mu.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
Please answer the second part of the question. How should this value be related to the confidence level?
Transcribed Image Text:represent the population mean and there is never a way to confirm that a conclusion
made from a sample mean is 100% correct.
2. If not already set by default, set "Distribution" to "Normal", "Sample size" to
"100", "Mean" to "50", "Std. dev." to "10", "Interval type" to "z". Then click the
"Update applet" button. Set the "CI Level" to "0.95", if not already set as such.
You should see 100 confidence intervals appear as horizontal lines with a point in
the middle. Some are red, most should be green.
a. According to the table, how many of the 100 "Total" intervals are
"Containing mu"? How should this value be related to the
confidence level ("CI Level")?
94 of the 100 intervals contain mu.
b. Along the left margin of the table is an enumerated list of intervals.
deco NOT
Transcribed Image Text:ncmg.com X EMA
nl_shared/animations/statistics/west_applets_HTML5/meanci1.html
Comparing confidence intervals for a mean
1
2
3
4
5
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7
8
9
10
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Distribution:
15
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Normal
Confidence intervals for a mean: Normal population (u=50, o=10) Type=Z (with o)
Sample size: 100
100 intervals 1000 intervals Reset Info
CI Level
Containing
Intervals
0.95
Sample size:
100
20
30
Mean:
50
Update applet
40
Std. dev.:
10
94
Sort graph
Total
50
Intervals 1 to 100
60
100
Pearson Applets
Interval type:
ZV
Prop. contained
70
0.94
80
With the applet above, the properties of two different types of confidence intervals for a mean (t and z) can be
ompared via simulation. When the applet loads, 100 confidence intervals for a population mean are displayed in
he plot in a stacked fashion. Each interval is a 95% confidence interval (based on a t distribution) computed by
electing a random sample of specified size from a population with the specified mean and standard deviation.
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