Statistics homework help

STA2023 TEST 2  CHAPTERS 4, 10

 

NAME:____________________________

 

Show all your work. No work shown, no credit

 

1. 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:

• If we randomly select someone who was aboard the Titanic, what is the probability to select a man?

 

 

• If we randomly select someone who was aboard the Titanic, what is the probability that died?

 

 

• If we randomly select someone who was aboard the Titanic, what is the probability that is a man who died?

 

 

• If we randomly select someone who was aboard the Titanic, what is the probability that is either a man or a dead person?

 

 

• If we randomly select someone who was aboard the Titanic, what is the probability that person is a man, given that he died?

 

 

• If we randomly select someone who was aboard the Titanic, what is the probability that is not a man?

 

• Are the events to be a man and to die mutually exclusive? Why?

 

 

• Are the events to be a man and to die independents? Why?

 

• 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.

 

 

 

• Compute the probability to draw a poker hand with all red cards from a standard card deck

 

 

 

 

 

 

1. 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

 

 

 

2)

 

 

 

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

 

 

 

 

 

 

 

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