# General statistics

| April 22, 2015

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 Semester: Spring  2014 – 15 Course Name: General Statistics Course Code: ASC 205-W1 Assessment: Assignment-2 Student Name: Student ID: Awarded Mark: Total Mark: 5

Course Learning Outcome Contribution

 CLO 1 CLO 2 CLO 3 CLO 4 CLO 5 Question/s 2 – 1 – – Max Mark 20 Awarded

1. Choosing an Outfit

3 pairs of pants (B, R, O)

2 tops (W, R)

2 shoes (B, W)

1. How many 3-digit numbers can be formed if:
2. there are no restrictions?
3. there are no repetitions?

1. How many 4-letter arrangements can be formed if: (26 letters in the Alphabets)
2. there are no repetitions?
3. repetitions allowed?

1. How many license plates can be made if the plate has 3 different letters followed by 2 different numbers?

Permutations

• number of different arrangements of things in some order **ORDER IS IMPORTANT

nPr =

Q1. How many 5-letter arrangements can be made from the letters A, B, C, D, E, F, G?

Q2. How many ways can 6 books be arranged on a shelf?

Q3. 5-letter arrangements are formed from the letters in NUMBERS.  How many if:

1. no vowels?
2. 1st and last letters are consonants?

Q4. 6-letter arrangements are formed from ABCDEF.  How many if A & B together? (think of AB as one letter)

Q5. How many arrangements of the letters in the word:

1. BANANA
2. STATISTICS

Combinations

• number of ways of selecting things where ORDER DOES NOT MATTER

(AB & BA are the same outcome)

• This means the word combination lock should actual be a permutation lock since a “combination lock” needs order to open.

nCr or  =

Q1. A committee of 3 is selected from 5 girls and 7 boys.  How many if:

1. no restrictions?                                                   b.   all boys?
2. 1 girl and 2 boys?                                         d. at least 1 girl?

Q2. 10 points are on a circle (no 3 are collinear).  How many:

1. different lines are determined?

GROUP/INDIVIDUAL FINAL PROJECT (Spring 2014-2015)

General Statistics

(ASC 205)

Your PROJECT must not be less than 1000 words and not more than 1500 words.

Choose one topic from the list below.

Please use at least 3 sources (journals, textbooks and websites). Provide statistical data to validate your discussions.

Specific instructions:

• Cover page with Project Titles, Student name: Student ID Number, your Professor’s name and Submission Date.
• Executive Summary
• Proper introduction
• Body of the Project
• Conclusions
• Recommendations

This individual/group Project must be SUBMITTED on the 30 April, 2015. One electronic submission and one hard copy submission will be required not later that the 30 April, 2015.Project presentation will be conducted in the first week of May 2015.  Late submissions will be penalized!!!!

TOPICS OF G. STATISTICS in Fall 2014-2015

1. Quantity of Water Consumed and Number of Consumers by Type of Consumption – Emirate of Dubai
2. Agricultural Production by Type* – Emirate of Dubai
3. Production of Fruits by Type – Emirate of Dubai
4. Slaughtered Animals at Dubai Abattoirs
5. Veterinary Services* – Emirate of Dubai
6. Number of Cases at the Court of First Instance – Emirate of Dubai
7. Lawyers, Connoisseurs and Judges at Dubai Courts Department by Gender
8. Minors Crime Perpetrators by Nationality Groups – Emirate of Dubai
9. Perpetrators of Crimes by Nationality Groups – Emirate of Dubai
10. Visitors of Public Parks, Zoo and Children’s City by Type* – Emirate of Dubai
11. Visitors of Public Libraries by Library Location – Emirate of Dubai
12. Players Registered at Dubai Sports Clubs – Emirate of Dubai
13. Fire Accidents by Location – Emirate of Dubai

Frequency Distribution Worksheet
Probability & Statistics
1. The number of hours taken by transmission mechanics to remove, repair, and replace transmissions in one of the Transmission Fix-It stores one day last week are recorded as follows:
2.9
3.4
5.4
3.6
2.7
4.4
5.4
3.2
4.6
3.3
2.3
3.3
6.7
2.2
4.4
5.5
3.3
6.7
8.7
4.1
Construct a frequency distribution with 10 intervals of 1.0 hours from the table of data. If the management believes that more than 6.0 hours is evidence of unsatisfactory performance, does it have a major or minor problem with performance in this particular store?
2. Here are the ages of 50 members of a county social service program:
81
53
67
60
80
64
56
54
91
61
66
88
67
65
52
72
74
65
73
69
43
54
76
70
97
68
82
75
79
60
39
87
76
97
86
45
60
43
65
76
92
72
82
80
70
65
50
58
70
56
7-Interval 13-Interval Use this data to construct relative frequency distributions using 7 equal intervals and 13 equal intervals. State policies on social service programs require approximately 40 percent of the program participants to be older than 50.
a. Is the program in compliance with the policy?
c. Suppose the director of social services wanted to know the proportion of program participants between 45-80 years old. Could you estimate the answer better for her better with a 7- or a 13-interval relative frequency distribution
3. High Performance Bicycle Products Company in Chapel Hill, NC sampled its shipping records for a certain day with these results:
4
12
8
14
11
6
7
13
13
11
11
20
5
19
10
15
24
7
29
6
Construct a relative frequency distribution of the data. Use 5 equal class widths that will include all of the data.
a. What is the class width?
b. What statement can you make about the effectiveness of order processing from the frequency distribution?
c. If the company wants to insure that half of its deliveries are made in 10 days or less, can you determine from the frequency distribution whether they have reached this goal?
4. Mr. Franks, a safety engineer for the Mars Point Nuclear Power Generating Station, has charted the peak reactor temperature each day for the past year and has prepared the following frequency distribution:
List and explain any errors you find in Mr. Frank’s distribution.
Temp. in °C
Frequency
Below 500
4
501 – 510
7
511 – 520
32
521 – 530
59
530 – 540
82
550 – 560
65
561 – 570
33
571 – 580
28
580 – 590
27
591 – 600
23
5. The president of Ocean Airlines is trying to estimate when the Civil Aeronautics Board (CAB) is most likely to rule on the company’s application for a new route between Charlotte and Nashville. Assistants to the president have assembled the following waiting times for applications filed during the past year. The data are given in days from the date of application until a CAB ruling:
32
38
26
29
32
41
28
31
45
36
45
35
40
30
31
40
27
33
28
30
30
41
39
38
33
35
31
36
37
32
23
45
39
37
38
36
33
35
42
38
34
22
37
43
52
32
35
30
46
36
a. Construct a relative frequency distribution using 10 intervals. Which interval occurs most often?
b. Construct a relative frequency distribution using 5 intervals. Which interval occurs most often?

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