NAME:____________________________
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A) Using the Titanic mortality data in the table that follows:
MEN WOMEN BOYS GIRLS
SURVIVED 332 318 29 27
DIED 1360 104 35 18
Compute and show your work:
1. If we randomly select someone who was aboard the Titanic, what is the probability to select a man?
1. If we randomly select someone who was aboard the Titanic, what is the probability that died?
1. If we randomly select someone who was aboard the Titanic, what is the probability that is a man who died?
1. If we randomly select someone who was aboard the Titanic, what is the probability that is either a man or a dead person?
1. If we randomly select someone who was aboard the Titanic, what is the probability that person is a man, given that he died?
1. If we randomly select someone who was aboard the Titanic, what is the probability that is not a man?
1. Are the events to be a man and to die mutually exclusive? Why?
1. Are the events to be a man and to die independents? Why?
1. Compute how many committees of 5 senators consisting in 3 democrats and 2 republicans you can draw from a senate serving with 51 senators democrats and 49 senators republicans.
1. Compute the probability to draw a poker hand with all red cards from a standard card deck
B) Interpret the following MINITAB displays:
1) Data sodium
2.30 2.60 2.34 2.40 2.50 2.45 2.35 2.60 2.36 2.42 2.50 2.30 2.53
2.57 2.62 2.53 2.54 2.62
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2)
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3) Correlation: Data sodium, Body weight
Pearson correlation of Data sodium and Body weight = 0.576
P-Value = 0.012
4) Regression Analysis: Body weight versus Data sodium
The regression equation is
Body weight = 49.06 + 10.10 Data sodium
S = 1.64626 R-Sq = 33.2% R-Sq(adj) = 29.1%
Analysis of Variance
Source DF SS MS F P
Regression 1 21.5817 21.5817 7.96 0.012
Error 16 43.3627 2.7102
Total 17 64.9444
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5) Chi-Square Test for Association: Ethnicity, Gender
Rows: Ethnicity Columns: Gender
F M All
A 1 2 3
1.500 1.500
0.1667 0.1667
B 2 2 4
2.000 2.000
0.0000 0.0000
C 1 1 2
1.000 1.000
0.0000 0.0000
H 3 4 7
3.500 3.500
0.0714 0.0714
N 2 0 2
1.000 1.000
1.0000 1.0000
All 9 9 18
Cell Contents: Count
Expected count
Contribution to Chi-square
Pearson Chi-Square = 2.476, DF = 4, P-Value = 0.649
Likelihood Ratio Chi-Square = 3.256, DF = 4, P-Value = 0.516
* NOTE * 10 cells with expected counts less than 5
2.82.72.62.52.42.32.2
99
95
90
80
70
60
50
40
30
20
10
5
1
Mean2.474
StDev0.1115
N18
AD0.471
P-Value0.216
Data sodium
P
e
r
c
e
n
t
Probability Plot of Data sodium
Normal
2.652.602.552.502.452.402.352.30
78
77
76
75
74
73
72
71
70
69
Data sodium
B
o
d
y
w
e
i
g
h
t
Scatterplot of Body weight vs Data sodium
2.652.602.552.502.452.402.352.30
80.0
77.5
75.0
72.5
70.0
S1.64626
R-Sq33.2%
R-Sq(adj)29.1%
Data sodium
B
o
d
y
w
e
i
g
h
t
Regression
95% CI
95% PI
Fitted Line Plot
Body weight = 49.06 + 10.10 Data sodium
Ilaiy
STA2023TEST2Chapters4and10ProbabilityandInterpretingMINITABDisplays.docx
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