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 ‘others’ or a better group name.) This name will be the label for Column 2 in your chart. |
|
|
4. List the name for your quantitative variable,V2. |
|
|
5. Return to Lab 3, Part 1. What is the median for your V2? |
|
|
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 ‘investment under ’ or ‘investment equal to
50 thousands or less’ ( 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 ‘over 50 thousands’. (> 50) What is your label for Row 2? |
|
Use the information above to create a table similar to this one.
Qualitative Variable, Political Party
|
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, ______________
|
Quantitative
Variable, V2
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) = 
).
13. Find the probability of being in Row 1, given Column 1. Use the language of your data.
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 |
Your Data |
|
13.P( 14. P(
Since P(
|
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 |
Your Data |
|
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. |
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 |
Your Data |
|
P(Both Drugs) =
P(Drug and Drug) = |
17. |
=0.38518. 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 |
Your Data |
|
18. P(investment
$
19. P(Investment $
|
18.
19. |
20. Consider your last two answers and list two mutually exclusive events for your data. Explain your reasoning.
-
Rating:
/5
Solution: LAB Unit 4: Stat Project Assignment