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## LAB Unit 4: Stat Project Assignment

Lab Project

LAB Unit 4:
Stat Project [(Required/Graded) 25 points) CSLO D, CSLO G]

The
goal of this lab is to understand and find simple probabilities and conditional
probabilities, and to use the Multiplication Rule and the Addition Rule.

1.
List
the name for your qualitative variable,
V1

2.Return to Lab 2. List the name for one of the largest slice
in your pie chart. (If a tie, choose
either one.)
This name
will be the label for Column 1 in your chart.

3.
Categorize
all of the other slices of your graph with a logical label. (This
will be very easy if your graph has only two slices; you use the name of the
smaller slice. If there are more than
two slices, use the labels âothersâ or a better group name.)
This name will be the label for Column

4. List the name for your
quantitative variable,V2.

5.
Return
to Lab 3, Part 1. What is the median

6.
The
label for Row 1 will be values at or below the median. For example, if the median \$ value of the
investment 50 thousands, Row 1 will be
labeled âinvestment under â or âinvestment equal to
50 thousands or lessâ ()
What is your label for Row 1?

7.
The
label for Row 2 will be values above the median. For example, if the median investment is 50
thousands, Row 2 will be labeled âover 50 thousandsâ. (> 50)
What is your label for Row 2?

Use the information above
to create a table similar to this one.

Qualitative Variable, Political
Party

Drug

Others

Total

()(000)

6

8

14

>50(000)

19

7

26

Total

25

15

40

Quantitative
Variable,
V2
Age

8. Return to data in Lab 1 and count up the observations for
each of the four cells in the table.
Place the sums in each cell and be sure that your frequencies add to
40. Also record the totals for each row
and each column.

Qualitative
Variable, ______________

Total

Quantitative

Variable,
V2

Find simple probabilities.
9. Compute the probability of being in
Row 1. Use the language of your data.
(For example, P () = ).
10. Compute the probability of being in
Row 2. Use the language of your data.
(For example, P(>50)= ).
11. Compute the probability of being in
Column 1. Use the language of your
data. (For example, P(Drug)=).
12. Compute the probability of being in
Row 1 and Column 1 using the appropriate frequency from your table. Use the language of your data. (For
example, P(Drug and) = ).

Find conditional probabilities.

13. Find the probability of being in Row
1, given Column 1. Use the language
14. (a)
Comparing
the probability in # 13 to the probability in # 9, decide if Rows and Columns
are independent. (b) Clearly explain your reasoning, using a complete sentence and
one of these phrases: equally likely,
more likelyor less likely.

Example

13.P(, given Drug) =
14. P() = 0.350

Since P(, given Drug) is less
than P(), Drug are less
likely to be. These are dependentevents.

13.

14.

15. Find the probability of being in
Column 1, given Row 2. Use the
language of your data. (For example,
P(Drug,
given >50).
16. comparing the probability in #15 to
the probability in #11, determine if Rows and Columns are independent. Clearly explain your reasoning, using a
complete sentence and one of these phrases: equally
likely, more likelyor less likely.

Example

15.P(Drug,
given >50) =

16.P(Drug) = 0.625

Since P(Drug, given > 50) is
higher than P(Drug), investment>\$50 are more likely to be Drug. These are dependentevents.

15.

16.

Multiplication Rule

17. If you choose two subjects from your
sample, use the Multiplication Rule to find the probability that they are both
from Column 1.

Example

P(Both Drugs) =

P(Drug and Drug) = =0.385

17.

18. Use the Addition Rule to find the
probability of being in Row 1 or
Column 1.
19. Use the Addition Rule to find the
probability of being in Row 1 or Row
2.

Example

18. P(investment
\$or Drug ) =

19. P(Investment \$or > 50) =

18.

19.

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