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  MGMT 650 Fall 2016 Problem Set 4   Hypothesis testing with 2 populations:   UMUC's Business Management department is concerned that dual degree students may be receiving lower grades than the regular management students

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MGMT 650 Fall 2016 Problem Set 4

 

1. Hypothesis testing with 2 populations:

 

UMUC's Business Management department is concerned that dual degree students may be receiving lower grades than the regular management students. Two independent random samples have been selected. 150 observations from population 1 (dual degree students) and 150 from population 2 (management only degree.)  It is known from past studies that the population variance for dual degree students is 4.5 and the population variance for management only students is 5.0.  The current study found that the mean score for the dual degree students is 79 and the mean score for the management only students is 82.

 

2. ANOVA:

 

UMUC wants to use a new tutorial to teach the students about business ethics.  As an experiment the administrator randomly selected 15 students and randomly assigned them to one of three groups which include either a PowerPoint presentation created by the faculty, AuthorGen Presentation created by the faculty, or a well known tutorial by the ABC company.  After completing their assigned tutorial, the students are given a Business Ethics test.  At the .01 significance level, can UMUC conclude that there is a difference between how well the different tutorials work for the students?

 

Here is a good website where you can find the f table for significance level .01 http://www.socr.ucla.edu/Applets.dir/F_Table.html#FTable0.01

 

PowerPoint Tutorial (X1)	AuthorGen Tutorial (X2)	ABC Tutorial (X3)
68	79	75
85	86	83
91	82	78
87	92	86
88	91	81

 

 

3. F-Test Two-sample for Variances

 

Use Excel’s 2-sample variances data analysis tool to solve the following problem.  A well-known ice cream store wants to test two different methods for scooping ice cream so they can use the one that has the least variability in their training of new and current employees.  It took a sample of the ice cream cones scooped and measured the weights.

 

Use the F-Test Two-Sample for Variances to test the hypothesis that the variances between the two methods are the same.  Interpret the results.

 

Method 1	Method 2
4.7	3.7
3.7	4.1
3.2	3.5
3.1	5.5
3.9	4.1
4.8	4.7
3.1	4.9
5.1	3.5
4.9	3.9
5.3	3.7
2.8	4.8
4.2	5
	5.3
	4.4
	4.6

 

 

 

 

4. t-Test: Paired Two Sample for Means

 

The director for Weight Watchers International wants to determine if the changes in their program are still allowing members to lose weight.  She selected 25 Weight Watcher members at random and compared their weight at the start of the program to their weight 6 months later.  Here are the results: (The weight in the column labeled “Before” represents their weight at the start of the six-month period and “After” represents their weights six months later.)  The director used .05 as the significance level.

 

Use Excel to determine if weight “Before” equals weight “After” against the alternative that weight “After” is less than “Before.”  State your conclusion.

 

Person	Before	After
1	173	164
2	192	191
3	185	176
4	177	176
5	196	189
6	178	169
7	196	196
8	181	172
9	158	158
10	201	193
11	191	185
12	193	190
13	176	175
14	212	210
15	177	173
16	183	180
17	211	204
18	198	192
19	157	152
20	213	209
21	161	153
22	177	168
23	210	203
24	192	186
25	178	170

 

 

5. Scatter Plots and Correlation

 

Graph each set of data and determine if there is a correlation and how strong it is.  State if that relationship is negative or positive.

 

1. Highest Grossing movies and the year they were released.

$2,186.80	1997
$2,068.20	2015
$1,670.40	2015
$1,519.60	2012
$1,516.00	2015
$1,405.40	2015
$1,341.50	2011
$1,276.50	2013
$1,215.40	2013
$1,159.40	2015
$1,151.10	2016
$1,123.80	2011
$1,119.90	2003
$1,108.60	2012
$1,104.10	2014
$1,084.90	2012
$1,066.20	2006
$1,063.20	2010
$1,045.70	2011
$1,029.20	1993
$1,027.00	1999
$1,025.50	2010
$1,022.60	2016
$1,021.10	2012
$1,004.60	2008
$974.80	2001
$970.80	2013
$968.50	1994
$963.40	2007
$960.30	2010
$958.40	2013
$956.00	2014
$939.90	2007
$937.90	2016
$936.70	2003
$934.40	2009
$926.00	2002
$919.80	2004
$896.90	2005
$890.90	2007
$886.70	2009
$880.70	2015
$879.00	2002
$877.20	2012
$872.70	2016
$871.50	2001
$865.00	2013
$857.40	2015
$848.80	2005
$836.30	2009
$829.70	2012
$825.50	2010
$821.70	2002
$817.40	1996
$799.00	2007
$796.70	2004
$792.90	1982
$788.70	2013
$786.60	2008
$783.80	2004
$782.40	2016
$775.40	1977
$773.30	2014
$769.70	2009
$758.50	2014
$758.20	2006
$757.90	2012
$755.40	2014
$752.60	2010
$747.90	2014
$746.90	2012
$745.00	2005
$743.60	2013
$742.10	2003
$731.30	2009
$727.60	2016
$723.20	2013
$714.40	2014
$712.20	2011
$710.60	2014
$709.70	2009
$709.70	2007
$709.00	2014
$698.50	2010
$694.70	2011
$694.40	2012
$682.30	2015
$677.90	1994
$675.10	2014
$672.80	1999
$668.00	2013
$665.70	2011
$660.90	2006
$657.80	2014
$654.30	2003
$653.40	2015
$649.40	2002
$644.60	2013
$631.70	2008

 

 

2. Hours studied and test grade

 

3	75
5	90
2	75
6	80
7	90
1	50
2	65
7	85
1	40
7	100
2	70
6	85
7	85
1	70
5	80
5	85
5	80
3	50
3	60
9	95
5	75
6	80
2	50
5	65
2	40
3	70
8	80
4	75
5	60
6	95

 

3. Humidity level and time spent outside

50%	6
40%	7
70%	0.5
20%	4.5
90%	0.25
30%	4
70%	5.5
30%	2
20%	2
30%	2.75
40%	2.75
10%	8.5
90%	1
70%	2.2
80%	1.5
50%	3
70%	1.25
40%	4
30%	3.75
20%	6
20%	5
70%	2.5
70%	2
80%	1
50%	4