Business Research Project Part 4: Data Analysis

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descriptive_statistics.doc

SHORT TITLE OF PAPER

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Running head: DESCRIPTIVE STATISTICS

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Descriptive Statistics

Jaime Margaria

QNT/561

September 8, 2014

Joseph Hamel

Descriptive Statistics

For the current sample, I have chosen two random days and shifts to compile information on how they are producing. In this example I have used Shift 1 on January 21 and their results of cases per shift as well as Shift 2 on March 21 and their results of cases per shift. This will give me a good idea as to how the two groups are producing on any given day.

Shift 1 on January 21

Central Tendency: Mean = 136.63 cases

Dispersion: Standard Deviation = 11.89 cases

Number:8

Min/Max: 122 cases to 156 cases

Confidence Interval: 41.952 cases to 231.308 cases

See the histogram in Appendix A, and descriptive statistics in Appendix B.

Shift 2 on March 21

Central Tendency: Mean =138 cases

Dispersion: Standard Deviation = 13.44 cases

Number: 8

Min/Max: 123 cases to 159 cases

Confidence Interval: 42.373 cases to 233.627 cases

See the histogram in Appendix A, and descriptive statistics in Appendix B. A scatter plot is in Appendix C.

Descriptive Statistics Interpretation

Shift 1 on January 21

Our first variable is the results of how many cases shift one completed on January 21. The average number of cases produced was 136.63 cases with a variation of plus or minus 11.89 cases. There is 95% confidence that the population average is between 41.952 cases to 231.308 cases.

Shift 2 on March 21

Our second variable is the results of how many cases shift two completed on March 21. The average number of cases produced was 138 cases with a variation of plus or minus 13.44 cases. There is 95% confidence that the population average is between 42.373 cases to 233.627 cases.

Appendix A

Histogram of Shift 1 on January 21

image1.png

Histogram of Shift 2 on March 21

image2.png

Shift 1

 

Shift 2

 

Shift 3

Cases of Product from 0700 through 1500

 

Cases of Product from 1500 through 2300

 

Cases of Product from 2300 through 0700

Date

21-Jan

 

Date

21-Jan

 

Date

21-Jan

Time

Number of cases

 

Time

Number of cases

 

Time

Number of cases

0700-0800

129

 

1500-1600

108

 

2300-2400

159

0800-0900

125

 

1600-1700

107

 

2400-0100

156

0900-1000

137

 

1700-1800

105

 

0100-0200

153

1000-1100

136

 

1800-1900

109

 

0200-0300

156

1100-1200

137

 

1900-2000

110

 

0300-0400

159

1200-1300

156

 

2000-2100

112

 

0400-0500

181

1300-1400

151

 

2100-2200

104

 

0500-0600

128

1400-1500

122

 

2200-2300

103

 

0600-0700

185

Date

21-Feb

 

Date

21-Feb

 

Date

21-Feb

Time

Number of cases

 

Time

Number of cases

 

Time

Number of cases

0700-0800

133

 

1500-1600

115

 

2300-2400

162

0800-0900

135

 

1600-1700

118

 

2400-0100

168

0900-1000

137

 

1700-1800

119

 

0100-0200

169

1000-1100

136

 

1800-1900

117

 

0200-0300

168

1100-1200

138

 

1900-2000

115

 

0300-0400

159

1200-1300

139

 

2000-2100

116

 

0400-0500

182

1300-1400

138

 

2100-2200

118

 

0500-0600

182

1400-1500

137

 

2200-2300

119

 

0600-0700

185

Date

21-Mar

 

Date

21-Mar

 

Date

21-Mar

Time

Number of cases

 

Time

Number of cases

 

Time

Number of cases

0700-0800

128

 

1500-1600

123

 

2300-2400

193

0800-0900

145

 

1600-1700

129

 

2400-0100

121

0900-1000

146

 

1700-1800

151

 

0100-0200

112

1000-1100

146

 

1800-1900

151

 

0200-0300

106

1100-1200

146

 

1900-2000

129

 

0300-0400

159

1200-1300

146

 

2000-2100

131

 

0400-0500

181

1300-1400

135

 

2100-2200

131

 

0500-0600

169

1400-1500

138

 

2200-2300

159

 

0600-0700

185

Appendix B- Raw data used in the Analysis

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Appendix C

Charts and Tables

image3.png

Appendix D

Descriptive Statistics

Descriptive statistics

 

# 1

# 2

# 3

# 4

# 5

# 6

# 7

# 8

# 9

count

8

8

8

8

8

8

8

8

8

mean

136.63

107.25

159.63

171.88

117.13

136.63

141.25

138.00

153.25

sample standard deviation

11.89

3.11

17.61

9.85

1.64

1.92

6.86

13.44

35.08

sample variance

141.41

9.64

310.27

96.98

2.70

3.70

47.07

180.57

1,230.50

minimum

122

103

128

159

115

133

128

123

106

maximum

156

112

185

185

119

139

146

159

193

range

34

9

57

26

4

6

18

36

87

Descriptive statistics

Shift 1

 

Number of cases

count

8

mean

136.63

sample standard deviation

11.89

sample variance

141.41

minimum

122

maximum

156

range

34

Descriptive statistics

Shift 2

 

Number of cases

count

8

mean

138.00

sample standard deviation

13.44

sample variance

180.57

minimum

123

maximum

159

range

36