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You are hired in an investment company shortly after graduation and you need to assist investors interested in stock mutual funds. In a study, a

You are hired in an investment company shortly after graduation and you need to assist investors interested in stock mutual funds. In a study, a sample of 316 stock mutual funds included 227 growth funds and 89 value funds were collected by the investment company. You are asked to analyze the three different returns of the funds: 3 year return, 5 year return, and 10 year return to determine if they are all performing equally, or if you need to drop any. The data collected is located under the Retirement Funds data set from page 406.

Please address the following four questions using the data set Retirement Funds:

  1. Use the Analysis of Variance (ANOVA)-Single Factor technique using Excel on the data set. Show the ANOVA table. Answer the hypothesis being tested in this case study. Also, determine your conclusions. Would you accept or reject the null hypothesis for this sample? Why or why not?
  2. What recommendations would you offer to the investment company? Where the mutual funds performing equal, or not? Explain and provide your own conclusions.
    1. Provide Descriptive Statistics for the excel file (e.g., sample size, mean, median, standard deviation, standard error). What are your preliminary observations of the descriptive of data set?
  3. Provide a Line Graph using Excel or StatCrunch of the 3 year return, 5 year return, and 10year return, and explain if these are performing in an equal fashion, or if any of these is performing poorly. Discuss your conclusion and determine if this conclusion relates to the ANOVA results.

Fund Number

3YrReturn%

5YrReturn%

10YrReturn%

RF001

24.26

11.06

8.97

RF002

22.72

-4.89

0.02

RF003

21.91

1.53

12.55

RF004

21.89

1.57

12.69

RF005

16.47

9.40

10.30

RF006

16.10

6.33

10.41

RF007

13.44

3.58

6.03

RF008

13.30

4.05

9.69

RF009

13.16

2.85

5.69

RF010

12.59

-0.33

6.77

RF011

12.45

4.70

9.88

RF012

12.39

5.85

7.44

RF013

12.16

2.51

8.73

RF014

12.15

2.74

9.53

RF015

12.14

3.40

9.44

RF016

11.97

4.75

3.99

RF017

11.84

1.75

8.46

RF018

11.80

6.37

7.41

RF019

11.44

3.93

9.37

RF020

11.29

4.34

8.62

RF021

11.21

1.59

4.80

RF022

11.13

-0.12

10.32

RF023

11.07

4.05

7.10

RF024

11.07

1.96

8.11

RF025

11.04

3.54

6.31

RF026

10.90

3.79

6.81

RF027

10.86

2.85

1.38

RF028

10.83

0.48

1.76

RF029

10.68

9.03

8.99

RF030

10.67

1.52

8.60

RF031

10.62

1.93

7.97

RF032

10.56

2.44

7.48

RF033

10.54

0.89

6.11

RF034

10.52

2.80

3.06

RF035

10.43

1.21

5.94

RF036

10.35

-0.42

3.80

RF037

10.11

0.72

6.36

RF038

10.07

1.63

5.76

RF039

10.06

0.04

6.81

RF040

10.02

2.42

6.42

RF041

10.01

3.13

9.93

RF042

10.00

-1.50

-1.50

RF043

9.95

-0.34

6.79

RF044

9.92

1.59

6.68

RF045

9.92

12.33

10.25

RF046

9.75

3.68

6.86

RF047

9.74

1.60

5.43

RF048

9.69

1.99

8.09

RF049

9.67

2.49

7.71

RF050

9.65

0.12

7.07

RF051

9.64

0.19

5.37

RF052

9.56

2.37

6.59

RF053

9.52

0.90

8.42

RF054

9.46

0.34

6.29

RF055

9.46

0.78

9.69

RF056

9.45

1.40

0.90

RF057

9.44

5.71

5.56

RF058

9.34

-1.04

7.74

RF059

9.30

-1.01

5.39

RF060

9.25

-0.28

6.81

RF061

9.19

0.84

4.33

RF062

9.11

1.22

4.76

RF063

9.07

-2.31

6.82

RF064

8.97

2.32

7.59

RF065

8.90

2.95

2.95

RF066

8.78

-0.10

6.98

RF067

8.70

2.61

7.61

RF068

8.47

0.29

5.41

RF069

8.42

-1.40

6.36

RF070

8.42

0.13

7.74

RF071

8.40

0.70

6.50

RF072

8.34

0.11

7.92

RF073

8.21

3.36

6.62

RF074

8.16

3.33

11.70

RF075

8.16

2.44

6.75

RF076

8.12

-2.10

3.44

RF077

8.09

-0.99

5.92

RF078

7.99

2.32

5.62

RF079

7.96

1.93

6.35

RF080

7.89

1.18

7.55

RF081

7.89

2.84

5.50

RF082

7.88

-1.73

6.50

RF083

7.81

0.86

8.03

RF084

7.75

-0.59

7.74

RF085

7.64

-0.11

6.22

RF086

7.64

0.96

5.35

RF087

7.63

1.22

6.18

RF088

7.24

-0.54

3.18

RF089

7.21

0.36

6.40

RF090

7.12

3.91

9.12

RF091

7.03

-0.69

6.29

RF092

6.90

-0.34

6.02

RF093

6.62

-3.27

8.41

RF094

6.52

-3.00

7.46

RF095

5.92

-3.41

2.38

RF096

5.63

0.95

-0.05

RF097

5.61

-1.40

5.27

RF098

5.50

-4.17

4.83

RF099

5.35

-0.10

5.24

RF100

4.70

-4.24

8.38

RF101

4.58

-3.65

0.51

RF102

3.70

-3.36

3.61

RF103

1.18

-5.17

-1.31

RF104

12.40

1.04

1.84

RF105

12.28

0.00

5.13

RF106

11.96

0.88

7.15

RF107

11.85

2.54

6.03

RF108

10.81

0.15

-0.62

RF109

10.52

1.49

5.31

RF110

10.47

1.11

6.67

RF111

10.45

4.06

5.16

RF112

10.34

1.70

6.69

RF113

10.30

1.26

6.67

RF114

10.27

2.00

6.90

RF115

10.11

0.95

7.79

RF116

10.10

2.49

4.01

RF117

9.93

-0.38

6.31

RF118

9.91

-0.91

7.20

RF119

9.62

0.24

8.14

RF120

9.43

-0.19

6.08

RF121

9.42

0.45

7.44

RF122

9.33

2.73

7.14

RF123

9.26

1.83

7.86

RF124

9.22

-0.37

5.82

RF125

9.03

2.34

5.91

RF126

9.03

-0.30

5.62

RF127

8.83

2.59

6.75

RF128

8.78

4.05

10.09

RF129

8.76

-0.55

6.09

RF130

8.51

0.22

3.54

RF131

8.35

-0.86

7.14

RF132

8.32

-0.86

5.50

RF133

8.31

-2.18

4.70

RF134

8.30

-0.94

5.79

RF135

8.23

1.26

7.82

RF136

8.22

-2.44

5.88

RF137

8.19

-1.13

5.52

RF138

8.12

3.54

7.52

RF139

7.87

0.47

7.10

RF140

7.74

-2.91

4.53

RF141

7.54

-0.05

6.44

RF142

7.47

4.96

4.37

RF143

7.23

0.03

6.36

RF144

6.80

4.02

5.46

RF145

6.70

3.95

4.03

RF146

6.01

-2.30

7.71

RF147

5.68

0.22

8.58

RF148

5.57

0.56

5.19

RF149

5.56

-0.56

5.29

RF150

5.48

0.33

2.10

RF151

4.87

3.44

5.72

RF152

4.84

4.07

3.41

RF153

2.37

-2.50

4.66

RF154

18.70

4.86

8.31

RF155

16.25

4.15

11.23

RF156

15.65

4.85

9.01

RF157

15.26

8.88

8.52

RF158

15.04

3.22

9.52

RF159

15.02

-3.31

4.20

RF160

14.97

3.07

8.88

RF161

14.61

6.06

13.15

RF162

14.56

2.71

4.89

RF163

14.44

3.49

10.27

RF164

14.17

3.42

9.09

RF165

13.78

3.06

8.48

RF166

13.78

5.03

9.74

RF167

14.44

3.49

10.27

RF168

14.17

3.42

9.09

RF169

13.78

3.06

8.48

RF170

13.78

5.03

9.74

RF171

13.55

4.68

10.90

RF172

13.50

5.04

5.33

RF173

13.50

6.95

13.05

RF174

13.49

3.60

9.99

RF175

13.40

4.59

9.63

RF176

13.31

6.95

7.18

RF177

13.26

1.97

9.34

RF178

13.24

3.37

11.51

RF179

13.01

-0.27

11.36

RF180

12.94

5.78

11.11

RF181

12.92

1.45

1.22

RF182

12.71

4.09

8.34

RF183

12.69

3.13

14.11

RF184

12.60

3.91

10.00

RF185

12.53

0.97

11.04

RF186

12.03

0.83

9.75

RF187

11.81

4.42

6.01

RF188

11.72

3.40

10.87

RF189

11.64

5.10

10.79

RF190

11.60

4.20

6.01

RF191

11.53

0.82

8.85

RF192

11.52

-4.40

11.20

RF193

11.50

2.41

8.96

RF194

11.49

4.24

5.31

RF195

11.42

7.91

10.27

RF196

11.27

2.77

6.81

RF197

11.16

4.23

7.34

RF198

10.91

4.02

5.37

RF199

10.86

3.47

7.38

RF200

10.34

0.09

7.53

RF201

10.73

1.16

9.31

RF202

10.39

0.08

10.01

RF203

10.20

3.15

14.00

RF204

10.08

3.75

10.29

RF205

10.04

0.16

8.47

RF206

9.78

-1.12

12.38

RF207

9.71

2.94

9.68

RF208

9.60

0.64

8.77

RF209

9.58

-3.82

8.40

RF210

9.09

2.50

6.52

RF211

8.65

2.19

7.76

RF212

8.54

2.93

4.88

RF213

8.54

-1.96

6.43

RF214

8.19

1.71

7.87

RF215

7.99

0.32

7.75

RF216

7.26

-1.21

8.81

RF217

7.11

1.47

3.14

RF218

7.00

-0.26

5.67

RF219

6.97

4.64

5.46

RF220

6.18

0.11

9.27

RF221

6.02

-0.45

5.59

RF222

5.26

-2.36

6.81

RF223

1.17

-0.83

7.17

RF224

1.05

-9.03

3.49

RF225

-1.63

-5.78

4.45

RF226

14.77

5.04

10.18

RF227

12.67

2.87

9.61

RF228

12.50

3.99

8.59

RF229

12.28

4.84

4.66

RF230

12.18

1.31

3.35

RF231

12.04

6.33

11.90

RF232

12.04

5.34

10.38

RF233

11.61

1.39

8.90

RF234

11.39

6.34

8.62

RF235

11.11

1.90

8.65

RF236

11.01

3.65

7.13

RF237

10.77

1.24

8.78

RF238

10.53

3.00

8.49

RF239

10.53

0.53

8.54

RF240

10.20

1.94

7.95

RF241

8.65

5.20

3.93

RF242

8.19

-0.11

4.41

RF243

7.51

3.44

9.99

RF244

5.02

8.71

6.85

RF245

19.47

5.49

5.51

RF246

16.23

6.97

11.29

RF247

16.12

4.81

9.58

RF248

15.83

5.52

8.93

RF249

14.96

4.19

9.78

RF250

14.94

2.33

7.80

RF251

14.90

2.63

11.77

RF252

14.66

4.58

8.42

RF253

14.23

3.17

0.35

RF254

14.14

3.91

5.47

RF255

13.85

3.98

5.05

RF256

13.48

4.29

12.23

RF257

13.47

5.29

6.65

RF258

13.22

2.49

9.52

RF259

13.07

-0.01

6.25

RF260

12.90

6.17

10.04

RF261

12.84

3.55

8.91

RF262

12.76

2.99

10.27

RF263

12.67

-0.77

4.28

RF264

12.63

2.53

8.53

RF265

12.52

4.65

5.80

RF266

12.48

2.50

8.78

RF267

12.40

0.50

10.89

RF268

12.36

0.63

7.48

RF269

12.23

0.47

9.54

RF270

11.60

1.81

8.09

RF271

11.50

2.46

9.49

RF272

11.28

5.52

10.16

RF273

11.22

1.93

10.41

RF274

11.17

-1.46

8.00

RF275

11.14

-0.14

8.66

RF276

10.75

-0.11

8.36

RF277

10.57

1.88

2.90

RF278

10.54

3.67

5.50

RF279

9.94

-1.65

7.36

RF280

9.74

5.05

11.12

RF281

9.52

3.40

10.66

RF282

9.18

2.52

9.10

RF283

9.16

4.93

10.18

RF284

8.71

0.57

2.95

RF285

7.62

6.15

10.10

RF286

7.49

0.69

12.78

RF287

6.61

4.57

4.97

RF288

6.57

-2.09

4.08

RF289

6.56

-1.35

6.19

RF290

5.96

1.40

9.57

RF291

5.47

2.90

9.69

RF292

5.45

-2.93

6.31

RF293

5.38

-3.81

8.30

RF294

5.12

0.39

5.02

RF295

3.60

-1.08

-0.05

RF296

3.41

-4.05

5.78

RF297

19.88

10.75

6.10

RF298

14.69

3.09

9.86

RF299

13.80

6.15

10.12

RF300

13.13

6.63

9.63

RF301

12.25

4.41

11.78

RF302

12.11

4.91

10.10

RF303

12.09

7.31

8.29

RF304

11.76

6.27

10.15

RF305

11.41

6.77

11.86

RF306

11.08

5.11

8.76

RF307

10.82

2.35

7.54

RF308

10.40

-2.27

4.27

RF309

10.23

2.02

8.47

RF310

9.63

11.35

11.51

RF311

8.96

2.60

2.86

RF312

8.88

6.08

9.56

RF313

8.72

2.34

9.90

RF314

8.58

1.51

4.24

RF315

7.43

3.46

9.16

RF316

7.12

4.41

9.80

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