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Question # 00000785
Subject: Statistics
Due on: 09/08/2013
Posted On: 09/06/2013 08:57 PM

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Hypothesis Testing

1.University of Maryland is concerned that out of state students may be receiving lower grades than Maryland students. Two independent random samples have been selected: 175 observations from population 1 (Out of state students) and 187 from population 2 (Maryland students). The sample means obtained are X1(bar)=85 and X2(bar)=86. It is known from previous studies that the population variances are 9.2 and 8.3 respectively. Using a level of significance of .01, is there evidence that the out of state students may be receiving lower grades? Fully explain your answer.

Simple Regression

2. A CEO of a large plastics manufacturing company would like to determine if she should be placing more money allotted in the budget next year for television advertising of a new baby bottle marketed for controlling reflux and reducing gas. She wonders whether there is a strong relationship between the amount of money spent on television advertising for this new baby bottle called Gentle Bottle and the number of orders received. The manufacturing process of this baby bottle is very difficult and requires advanced quality control so the CEO would prefer to generate a stable number of orders. The cost of advertising is always an important consideration in the phase I roll-out of a new baby bottle. Data that have been collected over the past 20 months indicate the amount of money spent of television advertising and the number of orders received.

The use of linear regression is a critical tool for a manager's decision-making ability. Please carefully read the example below and try to answer the questions in terms of the problem context. The results are as follows:

Month

Advertising Cost

Number of Orders

1

$77,430.00

5,902,000

2

62,620

3,800,000

3

69,580

3,299,000

4

50,670

2,430,000

5

69,180

3,367,000

6

73,140

5,011,000

7

83,370

6,888,000

8

78,880

4,935,000

9

64,990

5,555,000

10

77,230

4,654,000

11

61,380

5,598,000

12

62,900

2,967,000

13

63,270

2,899,000

14

89,190

4,245,000

15

60,030

4,934,000

16

79,210

3,853,000

17

65,770

5,625,000

18

84,530

6,778,000

19

79,760

5,999,000

20

82,640

7,834,000

a. Set up a scatter diagram and calculate the associated correlation coefficient. Discuss how strong you think the relationship is between the amount of money spent on television advertising and the number of orders received. Please use the Correlation procedures within Excel under Tools > Data Analysis.The Scatterplot can more easily be generated using the Chart procedure.

NOTE: If you do not have the Data Analysis option under Tools you must install it. You need to go to Tools select Add-ins and then choose the 2 data toolpak options. It should take about a minute.

b. Assuming there is a statistically significant relationship, use the least squares method to find the regression equation to predict the advertising costs based on the number of orders received. Please use the regression procedure within Excel under Tools > Data Analysis to construct this equation.

c. Interpret the meaning of the slope, b1, in the regression equation.

d. Predict the monthly advertising cost when the number of orders is 5,800,000. (Hint: Be very careful with assigning the dependent variable for this problem)

e. Compute the coefficient of determination, r2, and interpret its meaning.

f. Compute the standard error of estimate, and interpret its meaning.

g. Do you think that the company should use these results from the regression to base any corporate decisions on?….explain fully

Hypothesis Testing on Multiple Populations

3.The ABC Tutoring Director wants to use a new tutorial to teach middle school students about basic algebraic techniques. As an experiment she randomly selected 18 students and randomly assigned them to one of three groups which include either a PowerPoint presentation created by the classroom teachers, WebEx Presentation created by an outside contractor, or a well known tutorial by the EducTrain company. After completing their assigned tutorial, the students are given a basic algebraic methods quiz. At the .01 significance level, can she conclude that there is a difference between how well the different tutorials work for the middle school students?

Students Grades on the Algebraic Methods Quiz following the Tutorial


PowerPoint Tutorial

WebEx Tutorial

EducTrain Tutorial

88

79

86

94

86

78

91

75

79

88

83

96

98

74

97

84

72

90



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Hypothesis_Testing.docx (33.45 KB)
Preview: television xxxxxxxxxxx and xxx number of xxxxxx received The xxx of xxxxxx xxxxxxxxxx is x critical tool xxx a manager's xxxxxxxxxxxxxxx ability xxxxxx xxxxxxxxx read xxx example below xxx try to xxxxxx the xxxxxxxxx xx terms xx the problem xxxxxxx The results xxx as xxxxxxxx xx   xxxxxxxxxxxxxxxx Cost Number xx Orders1$77,430 005,902,000262,6203,800,000369,5803,299,000450,6702,430,000569,1803,367,000673,1405,011,000783,3706,888,000878,8804,935,000964,9905,555,0001077,2304,654,0001161,3805,598,0001262,9002,967,0001363,2702,899,0001489,1904,245,0001560,0304,934,0001679,2103,853,0001765,7705,625,0001884,5306,778,0001979,7605,999,0002082,6407,834,000 a xxx up x xxxxxxx diagram xxx calculate the xxxxxxxxxx correlation coefficient xxxxxxx how xxxxxx xxx think xxx relationship is xxxxxxx the amount xx money xxxxx xx television xxxxxxxxxxx and the xxxxxx of orders xxxxxxxx Please xxx xxx Correlation xxxxxxxxxx within Excel xxxxx Tools > xxxx Analysis xxx xxxxxxxxxxx can xxxx easily be xxxxxxxxx using the xxxxx procedure xxxxx xx you xx not have xxx Data Analysis xxxxxx under xxxxx xxx must xxxxxxx it You xxxx to go xx Tools xxxxxx xxxxxxx and xxxx choose the x data toolpak xxxxxxx It xxxxxx xxxx about x minute b xxxxxxxx there is x statistically xxxxxxxxxxx xxxxxxxxxxxxx use xxx least squares xxxxxx to find xxx regression xxxxxxxx xx predict xxx advertising costs xxxxx on the xxxxxx of xxxxxx xxxxxxxx Please xxx the regression xxxxxxxxx within Excel xxxxx Tools xxxx xxxx Analysis xx construct this xxxxxxxx c Interpret xxx meaning xx xxx slope, xxx in the xxxxxxxxxx equation d xxxxxxx the xxxxxxx xxxxxxxxxxx cost xxxx the number xx orders is xxxxxxxxx (Hint: xx xxxx careful xxxx assigning the xxxxxxxxx.....
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Preview: GroupsWithin xxxxxxxxxxxxxxxxxxxxxxxxxxx Cost xxxxxx of.....
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Case Study on Mall of Elbonia (MoE) and the regarding analysis

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Tutorial Preview …have—mean, xxxxxxxx deviation, xxxxxxxxx and so xxxx Complete the xxxxxxxxx for xxxx xxxxxxxxxxx Practical xxxxxxxxxxx Scenario 2 xx this practical xxxxxxxxxxx scenario, xxx xxxx just xxxx hired away xxxx your Macy's xxxxxx department xxxxx xxxxxxxx by xxx Mall of xxxxxxx (MoE), as xxx new xxxx xxxxx manager xxxx Rumor had xx you just xxxxxx your xxxx xxx week xxx the MoE xxxxxxxxx convenience interviews xx the xxxxxx xxxx court xxx hundred interviews xxxx gathered The xxxxxxx are xxxxxxxxxx xx the xxxx of Elbonia xxxxxxxxx Results document xxxxxxxx in xxx xxxxxxxxx In xxxxxxxxx the file, xxxxx of Elbonia xxxxxxxxx Results," xxx…
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Preview: is x One xxxxxx Test of xxxxxxxxxx situation Use xxx data xx xxx Mall xx Elbonia Interview xxxxxxx file and xxx process xxxxxxxx xxxxx to xx sure that xxxx suspicions are xxxxxxx and xxxx xxx average xxxxxx mall customers xxxxx on food xxxxxx a xxxxx xx your xxxx has increased xxx an alpha xx 05 x xxxxxxxxx the xxxx hypothesis (via xxxx an explanation xxx a xxxx xxxxxxxxx Ho xx 75 This xxxxxx that average xxxxxxxx on xxxx xx 18 xx per visit x Determine the xxxxxxxxxxx hypothesis xxxx xxxx an xxxxxxxxxxx and a xxxx equation) Ho xx 75 xxxx xxxxxx that xxxxxxx spending on xxxx is more xxxx 18 xx xxx visit x Solve the xxxxxxxx to determine xxxxxxx to xxxxxx xx reject xxx null hypothesis xxx may solve xxx equation xxxxxxxx xx use xxx Hypothesis Tester xxxxxx Sample document xxxxxxxx in xxx xxxxxxxxx Test xxxxx (20-18 75)100 xxx 252 799 x Determine xx xxx p-value xxxxxxxxx acceptance.....
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