Question
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:
- 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?
- What recommendations would you offer to the investment company? Where the mutual funds performing equal, or not? Explain and provide your own conclusions.
- 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?
- 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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