1 competition. 2 wiederholungssendung the name of a famous russian mathematician is … a: smirnoff...
TRANSCRIPT
![Page 1: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/1.jpg)
1
Competition
![Page 2: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/2.jpg)
2
Wiederholungssendung
The name of a famous Russian mathematician is …
A: Smirnoff
B: Gorbatschoff
C: Kolmogoroff
D: Stroganoff
![Page 3: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/3.jpg)
3
Wiederholungssendung
The name of a famous Russian mathematician is …
A: Smirnoff
B: Gorbatschoff
C: Kolmogoroff
D: Stroganoff
![Page 4: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/4.jpg)
4
Wiederholungssendung
The name of a famous English statistician is …
A: Miller
B: Fisher
C: Churchill
D: Butler
![Page 5: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/5.jpg)
5
Wiederholungssendung
The name of a famous English statistician is …
A: Miller
B: Fisher
C: Churchill
D: Butler
![Page 6: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/6.jpg)
6
Wiederholungssendung
In order to describe the relation of two categorial variables, we use
A: Boxplots
B: Cross tables
C: Histograms
D: Bar plots
![Page 7: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/7.jpg)
7
Wiederholungssendung
A: Boxplots
B: Cross tables
C: Histograms
D: Bar plots
In order to describe the relation of two categorial variables, we use
![Page 8: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/8.jpg)
8
Wiederholungssendung
A: Boxplots
B: Cross tables
C: Histograms
D: Bar plots
In order to describe the distribution of a continuous variable in several
groups we use
![Page 9: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/9.jpg)
9
Wiederholungssendung
A: Boxplots
B: Cross tables
C: Histograms
D: Bar plots
In order to describe the distribution of a continuous variable in several
groups we use
![Page 10: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/10.jpg)
10
Wiederholungssendung
A: 1 Bin
B: 10 Bins
C: 100 Bins
D: 1000 Bins
100 measurements of a continuous variable are to be displayed in a
histogram. How many bins should the histogram approximately have?
![Page 11: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/11.jpg)
11
Wiederholungssendung
A: 1 Bin
B: 10 Bins
C: 100 Bins
D: 1000 Bins
100 measurements of a continuous variable are to be displayed in a
histogram. How many bins should the histogram approximately have?
![Page 12: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/12.jpg)
12
Wiederholungssendung
A: Mean
C: Standard deviation
D: Median
Which is the most robust measure of location for continuous data?
B: 1st Quartile
![Page 13: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/13.jpg)
13
Wiederholungssendung
A: Mean
C: Standard deviation
D: Median
B: 1st Quartile
Which is the most robust measure of location for continuous data?
![Page 14: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/14.jpg)
14
Wiederholungssendung
A: Relative frequencies
C: Column %
D: Total %
The maths grades of girls and boys of a school class are compared in a cross table
(rows=grades, columns = gender). Which quantities are most informative for the
comparison of grades within each group?
B: Row %
![Page 15: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/15.jpg)
15
Wiederholungssendung
A: Relative frequencies
C: Column %
D: Total %
B: Row %
The maths grades of girls and boys of a school class are compared in a cross table
(rows=grades, columns = gender). Which quantities are most informative for the
comparison of grades within each group?
![Page 16: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/16.jpg)
16
Wiederholungssendung
A: Pain, Time
C: Pain (morning), Pain (evening)
D: Time (morning), Time (evening)
The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening)
for each participant of a clinical trial. Which are the variables that constitute the
rows/columns in a cross table?
B: Patient #, Pain
![Page 17: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/17.jpg)
17
Wiederholungssendung
A: Pain, Time
C: Pain (morning), Pain (evening)
D: Time (morning), Time (evening)
B: Patient #, Pain
The binary endpoint „pain“ (yes/no) is measured twice a day (morning, evening)
for each participant of a clinical trial. Which are the variables that constitute the
rows/columns in a cross table?
![Page 18: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/18.jpg)
18
Wiederholungssendung
A: Mode = Median
C: 1.Quartile > Mean
D: Median < Mean
The distribution of a continuous variable is skewed to the right.
Thus,
B: Median > 65% Quantile
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19
Wiederholungssendung
A: Mode = Median
C: 1.Quartile > Mean
D: Median < Mean
B: Median > 65% Quantile
The distribution of a continuous variable is skewed to the right.
Thus,
![Page 20: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/20.jpg)
20
Wiederholungssendung
A:
C:
D:
B:
The distribution of a continuous variable is skewed to the left. A
typical boxplot looks like:
![Page 21: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/21.jpg)
21
Wiederholungssendung
A:
C:
D:
B:
The distribution of a continuous variable is skewed to the left. A
typical boxplot looks like:
![Page 22: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/22.jpg)
22
Wiederholungssendung
A: It produces only 5% false positives
B: It produces less true negatives
D: It produces less false negatives
A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“
because
C: It does not make any assumption about the null distribution
![Page 23: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/23.jpg)
23
Wiederholungssendung
A: It produces only 5% false positives
B: It produces less true negatives
C: It does not make any assumption about the null distribution
D: It produces less false negatives
A t-Test at a 5% type I error level should be preferred over the „Offenbach Oracle“
because
![Page 24: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/24.jpg)
24
Wiederholungssendung
The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%.
A valid acceptance region A for a corresponding two-sided test is:
A: A = [-10,10]
C: A = (∞,-10] ∪ [10,∞)
D: A = (∞,-5] ∪ [5,∞)
B: A = [-5,5]
![Page 25: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/25.jpg)
25
Wiederholungssendung
A: A = [-10,10]
C: A = (∞,-10] ∪ [10,∞)
D: A = (∞,-5] ∪ [5,∞)
B: A = [-5,5]
The decision boundary for a one-sided test statistic is d=7 at a significance level of α=5%.
A valid acceptance region A for a corresponding two-sided test is:
![Page 26: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/26.jpg)
26
Wiederholungssendung
A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that
A: There is a difference between the two groups
B: The type II error of the test is too high
C: There is no significant difference
D: The significance level has to be adjusted
![Page 27: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/27.jpg)
27
Wiederholungssendung
A: There is a difference between the two groups
B: The type II error of the test is too high
C: There is no significant difference
D: The significance level has to be adjusted
A two-group t-test at a significance level of α=1% yields a p-value of p=0.011. One can conclude that
![Page 28: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/28.jpg)
28
Wiederholungssendung
A two-sided (symmetrical) test at a significance level of α=5% yields a p-
value of p=0.002. One can conclude that
A: There is a differnce between the groups
B: The one-sided test would also be positive
C: The test at a level of α=1% would also be positive
D: The result is significant at a 1%-level
![Page 29: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/29.jpg)
29
Wiederholungssendung
A: There is a differnce between the groups
B: The one-sided test would also be positive
C: The test at a level of α=1% would also be positive
D: The result is significant at a 1%-level
A two-sided (symmetrical) test at a significance level of α=5% yields a p-
value of p=0.002. One can conclude that
![Page 30: 1 Competition. 2 Wiederholungssendung The name of a famous Russian mathematician is … A: Smirnoff B: Gorbatschoff C: Kolmogoroff D: Stroganoff](https://reader034.vdocuments.us/reader034/viewer/2022051613/5513dffb55034679748b53d4/html5/thumbnails/30.jpg)
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Congratulations!