Reference no: EM131463411

Part 1

ANALYSIS ASSIGNMENT 1

QUESTIONS

1. Determine the range, standard deviation, and variance for the indicated data set.

a. SET A

b. SET B

c. SET C

d. SET D

e. SET E

f. SET F

Set A Ages of people that attended an Alcoholics Anonymous (AA) therapy session: 25,
44, 20, 37, 56, 51, 34, 41, 36, 61, 33, 31, 47, 63, 67

SET B Grades on the second test of ECT 120 class: 77, 80, 87, 67, 88, 77, 12, 93, 78, 44,
71, 86, 40, 100, 76, 83, 66, 62, 89, 79, 81, 52, 30, 71, 76, 100, 74, 65, 82, 100,
56, 35, 51, 59, 29,13, 71

SET C Number of defective resistors per package of 100: 5, 10, 3, 2, 1, 9, 4, 10, 5, 3, 5,
5, 7, 11, 20

SET D States within the USA with National Parks:

STATE	Number of National Parks
Alaska	8
Arizona	3
Arkansas	1
California	8
Colorado	2
Florida	3
Hawaii	2
Idaho	1
Kentucky	1
Maine	1
Michigan	1
Minnesota	1
Montana	2
Nevada	2
New Mexico	1
North Carolina	1
North Dakota	1
Oregon	1
South Dakota	2
Tennessee	1
Texas	2
Utah	5
Virginia	1
Washington	3
Wyoming	2

SET E Normal Monthly Precipitation in MiamiFlorida. Data taken over 30 years from
1961- 1990.

Month	Precipitation Inches (in.)
January	2.01
February	2.08
March	2.39
April	2.85
May	6.21
June	9.33
July	5.70
August	7.58
September	7.63
October	5.64
November	2.66
December	1.83

SET F Annually Year Precipitation in selected US Cities. Data taken over 30 years from 1961- 1990.

City	Precipitation Inches (in.)
New York City	47.25
Dodge City, KS	21.49
Detroit, MI	32.62
Honolulu, HI	22.02
Atlanta, GA	50.77
Hilo, HI	129.19
Tallahassee, FL	65.71
Orlando, FL	48.11
Bakersfield, CA	5.72
Alamosa, CO	7.57
Chicago, IL	35.85
Los Angeles, CA	14.77
Bridgeport, CT	41.66
New Orleans, LA	61.88
Las Vegas, NV	4.13
Binghamton, NY	36.99
Dallas, TX	33.70
Houston	46.07
Seattle	38

2. Jacklyn scored 100, 95, 80, and 92 on her last four calculus tests. What must she score on the last test in order to earn the grade of A? The grading scale of an A is 90 -100.

3. Ms. Alicia Renee Mc Cormick's Report Card

       Course Credit                   Course Letter Grade

                 4                                           B

                 3                                           C

                 3                                           A

                 1                                           A

                 3                                           B

                 3                                           A

What is Alicia's GPA?

4. Below is Tom's grade distribution and recorded scores from his physics class. What is Tom's grade (weighted average)?

Sample Grade Distribution Chart

         HW                    10% [Drop the lowest]

         Midterm             25%

         Final                   30%

         Quiz                   30% [Drop the lowest]

         Lab Reports       15%

 

         HW:                  25        60        90        85        100      100      100      100      95

         Quiz:                 65        75        100      69        100      100      100      100      100

         Lab Reports:       80        90        85        80        85        90        85        100      100

         Midterm:            85

         Final:                 88

5. What is Tom's grade using the following grading scale? Refer to question 4.

Grade	PointRange
A+	100
A	90-100
B	80-89
C	70-79
D	60-69
F	0-59

Part 2

ANALYSIS ASSIGNMENT 2

1. The Chi-Square Test

Jury Selection (adapted from the Freedman, Pisani, Purves classic text)

One study of grand juries in Alameda County, California, compared the demographic characteristics of jurors with the general population, to see if jury panels were representative. The results for age are shown below. The investigators wanted to know if the 66 jurors were selected at random from the population of Alameda County. (Only persons over 21 and over are considered; the county age distribution is known from Public Health Department data.) The study was published in the UCLA Law Review.

Age	Count-wide %	# of jurors observed	# of jurors expected	(O-E)	(O-E)2/E
21-40	42%	5
41-50	23%	9
51-60	16%	19
over 60	19%	33
Total	100%	66

a) Should you do a test of homogeneity or a test of independence? Why?

b) Do we have evidence that grand juries are selected at random for the population of Alameda County?

2. Use MATLAB to generate a linear (1st Order) approximation for the population in the USA from 1986 to 2005.

3. Use MATLAB to generate a quadratic (2nd Order) approximation for the population in the USA from 1986 to 2005.

Population in the United States of America from 1986 to 2005.

Year	Population
1986	240,132,887
1987	242,288,918
1988	244,498,982
1989	246,819,230
1990	249,464,396
1991	252,153,092
1992	255,029,699
1993	257,782,608
1994	260,327,021
1995	262,803,276
1996	265,228,572
1997	267,783,607
1998	270,248,003
1999	272,690,813
2000	281,421,906
2001	285,317,559
2002	287,973,924
2003	290,788,976
2004	293,656,842
2005	296,410,404

Part -3: PROJECT

Pick one of the datasets on the CD-ROM that came with the new copy of the textbook. Data files are available in ASCII, Excel, Minitab, JMP, SAS, SPSS, and S-Plus formats. Alternatively, you can use any of the datasets of the PowerPoint presentations or Reading Materials.You must state in your project where your dataset came from. However, in either case make sure that the data is curvilinear and suitable for multiple regression.

1) Create a multiple regression model.

2) Formulate a null and alternative hypotheses.

3) Identify and explain the test statistic that will be used.

4) Run the Multiple Regression Software Tool to fully analyze the data and report its results.

5) Reject or do not reject your null hypotheses and explain why.

6) Accept or do not accept your alternative hypothesis.

7) Explain why your model is the best fit for the data.