Use the above picture to anwer these questions. If we count off 2.5% of the dots in the LEFT tail, above what number on the number line will that dot be located? If we count off 2.5% of the dots in the RIGHT tail, above what number on the number line will that dot be located? Using the 95% Rule, estimate the standard error. Round your answer to four decimal places as necessary. (Hint: It is NOT the standard deviation given in the picture. That represents the standard deviation of just the dots in the picture. The standard error would be the standard deviation of the dots in the picture if it included every possible bootstrap sample. But that picture would contain 10,000,000,000 dots

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Use the above picture to anwer these questions. If we count off 2.5% of the dots in the LEFT tail, above what number on the number line will that dot be located? If we count off 2.5% of the dots in the RIGHT tail, above what number on the number line will that dot be located? Using the 95% Rule, estimate the standard error. Round your answer to four decimal places as necessary. (Hint: It is NOT the standard deviation given in the picture. That represents the standard deviation of just the dots in the picture. The standard error would be the standard deviation of the dots in the picture if it included every possible bootstrap sample. But that picture would contain 10,000,000,000 dots
StatKey
Bootstrap Dotplot of Mean
50
40
30
20
Confidence Interval for a Mean
O Left Tail Two-Tail Right Tail
10
0
65
70
......
...
75
80
80.144
85
samples=480
mean = 80.144
std. error 4.105
90
Original Sample
n = 10, mean = 80
median = 80, stdev = 14.142
15
10
5
0
15
4
80
Bootstrap Sample
n = 10, mean = 87
median = 85, stdev = 10.593
10
5
0
50
60
:
70
50 60
•
:
90
70 80 90
87
100
100
Transcribed Image Text:StatKey Bootstrap Dotplot of Mean 50 40 30 20 Confidence Interval for a Mean O Left Tail Two-Tail Right Tail 10 0 65 70 ...... ... 75 80 80.144 85 samples=480 mean = 80.144 std. error 4.105 90 Original Sample n = 10, mean = 80 median = 80, stdev = 14.142 15 10 5 0 15 4 80 Bootstrap Sample n = 10, mean = 87 median = 85, stdev = 10.593 10 5 0 50 60 : 70 50 60 • : 90 70 80 90 87 100 100
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