[answered] MGMT 650 Fall 2016 Problem Set 4 (Last updated 9/19/2016) *

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MGMT 650 Fall 2016 Problem Set 4

 

(Last updated 9/19/2016)

 

*Note: For problems 1 ? 4, complete the 5?step process:

 

Step 1: State the null hypothesis and the alternate hypothesis.

 

Step 2: Select the level of significance.

 

Step 3: Evaluate the test statistic.

 

Step 4: Formulate a decision rule with critical value of test statistic.

 

Step 5: Compare the test statistic to the critical value and make the decision about H0. 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.

 

Is there evidence that the dual degree students are receiving lower

 

grades than regular management students? 2. 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

 

4.7

 

3.7

 

3.2

 

3.1

 

3.9

 

4.8

 

3.1

 

5.1

 

4.9

 

5.3

 

2.8

 

4.2 Method 2

 

3.7

 

4.1

 

3.5

 

5.5

 

4.1

 

4.7

 

4.9

 

3.5

 

3.9

 

3.7

 

4.8

 

5

 

5.3

 

4.4

 

4.6 3. Hypothesis testing using the p value:

 

The hypothesis is that the mean IQ of the population is 100.

 

A random sample of six IQs in this population resulted in the

 

following values: 118, 105, 112, 119, 105, and 111. Using

 

the .05 significance level, is it possible to conclude that the

 

mean is different from 100?

 

a. State the decision rule.

 

b. Compute the test statistic

 

c. What is your conclusion?

 

d. Use Excel to find the p-value. What does it mean? 4. Hypothesis testing on a proportion:

 

The administration of UMUC is concerned that a significant

 

number of their students are not graduating in 4 years. One

 

factor that may contribute to the low graduation rate after 4

 

years could be the number of students that change their

 

majors after the first year at UMUC. A nationwide study

 

found that about 50% of first year students at any university

 

change their major after the first year. UMUC sampled 100

 

students and found that 48 had changed their major after

 

their first year. At the .05 level, is the proportion of students

 

at UMUC that change their major higher than 50%?

 

5. Scatter Plots:

 

Graph each set of data using the xy chart feature in Excel.

 

Add the chart name, Axes descriptions, r squared, and the

 

linear equation to your chart.

 

a. 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 b. Hours studied and test grade

 

3

 

5

 

2

 

6

 

7

 

1

 

2

 

7

 

1

 

7

 

2

 

6

 

7

 

1

 

5

 

5

 

5

 

3

 

3

 

9

 

5

 

6

 

2

 

5

 

2

 

3

 

8

 

4

 

5

 

6 75

 

90

 

75

 

80

 

90

 

50

 

65

 

85

 

40

 

100

 

70

 

85

 

85

 

70

 

80

 

85

 

80

 

50

 

60

 

95

 

75

 

80

 

50

 

65

 

40

 

70

 

80

 

75

 

60

 

95 c. Humidity level and time spent outside

 

50%

 

40%

 

70% 6

 

7

 

0.5 20%

 

90%

 

30%

 

70%

 

30%

 

20%

 

30%

 

40%

 

10%

 

90%

 

70%

 

80%

 

50%

 

70%

 

40%

 

30%

 

20%

 

20%

 

70%

 

70%

 

80%

 

50% 4.5

 

0.25

 

4

 

5.5

 

2

 

2

 

2.75

 

2.75

 

8.5

 

1

 

2.2

 

1.5

 

3

 

1.25

 

4

 

3.75

 

6

 

5

 

2.5

 

2

 

1

 

4

 

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