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Class: Statistics
assignments unit 3 and unit 4; I have unit 1 as reference. there is not unit 2.
Unit 3 Application Assignment: Candy Count
Instructions
Please read the following scenario and answer the questions below. Use the data set below and your answers from your Unit 1 Application Assignment to complete this assignment. You may create your assignment using either Microsoft Word or Excel.
When you have completed your assignment, use the following naming convention to name your file: The course number, your first initial, your last name, the unit number and the assignment. For example: MTH140_C_Smith_U3 App Assign.doc
Scenario
30 bags of a certain candy were opened. The candy comes in 5 different colors: red and blue. The number of each color of candy per bag was counted and recorded.
Bag Red Blue
1 3 5
2 7 3
3 1 1
4 2 7
5 0 5
6 0 2
7 4 3
8 3 2
9 1 4
10 5 4
11 2 2
12 2 2
13 2 3
14 3 1
15 2 2
16 3 5
17 5 1
18 4 4
19 3 0
20 3 3
21 5 0
22 3 3
23 1 2
24 4 4
25 2 2
26 1 2
27 3 5
28 4 1
29 3 4
30 5 1
Analyze the data by calculating the following:
1. What was the variance and standard deviation of each color?
2. What was the variance and standard deviation for the total number of candies?
3. Suppose a new bag was opened with the following numbers:
Red Blue
3 2
4. Compute the z-scores for this bag for each color and for the total number of candies.
Unit 4 Application Assignment: Confidence Intervals
Note: This assignment will refer to the previous Candy Count assignment.
Instructions
Please read the following scenario and complete the requirements below. Use the data set below and the results you developed from your previous Application Assignments to complete this assignment. You may create your assignment using either Microsoft Word or Excel.
When you have completed your assignment, use the following naming convention to name your file: The course number, your first initial, your last name, the unit number and the assignment. For example: MTH140_C_Smith_U1 App Assign.doc
Scenario
30 bags of a certain candy were opened. The candy comes in 5 different colors: red and blue. The number of each color of candy per bag was counted and recorded.
Bag Red Blue
1 3 5
2 7 3
3 1 1
4 2 7
5 0 5
6 0 2
7 4 3
8 3 2
9 1 4
10 5 4
11 2 2
12 2 2
13 2 3
14 3 1
15 2 2
16 3 5
17 5 1
18 4 4
19 3 0
20 3 3
21 5 0
22 3 3
23 1 2
24 4 4
25 2 2
26 1 2
27 3 5
28 4 1
29 3 4
30 5 1
Requirements
Using the information from scenario and the results from your previous assignments, construct the following:
1. A 90% confidence interval for the mean number of red candies.
2. A 95% confidence interval for the mean number of blue candies.
used data
Bag Red Blue Total 1. Overall total is 169; total for each bag can be found in column D
1 3 5 8 2. Average red: 2.87; Average blue: 2.77
2 7 3 10 3. Average total: 5.63
3 1 1 2
4 2 7 9
5 0 5 5
6 0 2 2
7 4 3 7
8 3 2 5
9 1 4 5
10 5 4 9
11 2 2 4
12 2 2 4
13 2 3 5
14 3 1 4
15 2 2 4
16 3 5 8
17 5 1 6
18 4 4 8
19 3 0 3
20 3 3 6
21 5 0 5
22 3 3 6
23 1 2 3
24 4 4 8
25 2 2 4
26 1 2 3
27 3 5 8
28 4 1 5
29 3 4 7
30 5 1 6
TOTAL 86 83 169
Average 2.866666667 2.766666667 5.633333333
Solution Description

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