setwd("C:/Users/Dell/Downloads/Sameer Mathur")
dean.df<-read.csv("Deans Dilemma.csv")
View(dean.df)

Table showing the mean salary of males and females, who were placed.

placed<- subset(dean.df,Placement=="Placed",select = c(SlNo,Placement,Salary,Gender))
placed
##     SlNo Placement Salary Gender
## 1      1    Placed 270000      M
## 2      2    Placed 200000      M
## 3      3    Placed 240000      M
## 4      4    Placed 250000      M
## 5      5    Placed 180000      M
## 6      6    Placed 300000      M
## 7      7    Placed 260000      F
## 8      8    Placed 235000      M
## 9      9    Placed 425000      M
## 10    10    Placed 240000      F
## 12    12    Placed 250000      M
## 13    13    Placed 180000      M
## 14    14    Placed 428000      M
## 15    15    Placed 450000      M
## 17    17    Placed 300000      M
## 18    18    Placed 240000      M
## 19    19    Placed 252000      M
## 21    21    Placed 280000      M
## 22    22    Placed 231000      M
## 23    23    Placed 224000      M
## 24    24    Placed 120000      M
## 25    25    Placed 260000      M
## 26    26    Placed 300000      M
## 27    27    Placed 120000      M
## 28    28    Placed 120000      M
## 29    29    Placed 250000      M
## 30    30    Placed 180000      F
## 31    31    Placed 218000      F
## 32    32    Placed 360000      M
## 33    33    Placed 150000      M
## 34    34    Placed 250000      F
## 35    35    Placed 200000      F
## 36    36    Placed 300000      M
## 37    37    Placed 330000      M
## 38    38    Placed 265000      M
## 39    39    Placed 340000      M
## 41    41    Placed 177600      F
## 44    44    Placed 236000      M
## 45    45    Placed 265000      M
## 46    46    Placed 200000      M
## 47    47    Placed 393000      F
## 48    48    Placed 360000      F
## 49    49    Placed 300000      F
## 50    50    Placed 250000      M
## 51    51    Placed 360000      M
## 52    52    Placed 180000      F
## 53    53    Placed 180000      F
## 54    54    Placed 270000      M
## 55    55    Placed 240000      M
## 56    56    Placed 300000      M
## 57    57    Placed 265000      M
## 58    58    Placed 350000      M
## 60    60    Placed 250000      F
## 61    61    Placed 180000      F
## 62    62    Placed 278000      F
## 63    63    Placed 150000      M
## 65    65    Placed 260000      F
## 66    66    Placed 180000      M
## 67    67    Placed 300000      F
## 69    69    Placed 400000      M
## 70    70    Placed 320000      F
## 71    71    Placed 240000      F
## 72    72    Placed 411000      M
## 73    73    Placed 287000      F
## 74    74    Placed 198000      F
## 76    76    Placed 300000      M
## 77    77    Placed 200000      F
## 78    78    Placed 180000      F
## 80    80    Placed 204000      M
## 81    81    Placed 250000      M
## 83    83    Placed 200000      F
## 84    84    Placed 275000      M
## 85    85    Placed 192000      M
## 86    86    Placed 240000      F
## 87    87    Placed 300000      F
## 90    90    Placed 450000      M
## 91    91    Placed 216000      F
## 92    92    Placed 220000      M
## 93    93    Placed 216000      M
## 95    95    Placed 300000      M
## 96    96    Placed 240000      M
## 97    97    Placed 360000      M
## 99    99    Placed 268000      M
## 101  101    Placed 265000      M
## 102  102    Placed 260000      M
## 103  103    Placed 240000      M
## 104  104    Placed 300000      M
## 105  105    Placed 240000      F
## 106  106    Placed 180000      M
## 107  107    Placed 240000      M
## 108  108    Placed 400000      M
## 110  110    Placed 180000      M
## 111  111    Placed 250000      M
## 113  113    Placed 295000      F
## 114  114    Placed 180000      M
## 115  115    Placed 300000      F
## 116  116    Placed 240000      M
## 117  117    Placed 120000      M
## 118  118    Placed 250000      M
## 119  119    Placed 275000      M
## 120  120    Placed 275000      M
## 121  121    Placed 150000      F
## 122  122    Placed 275000      M
## 123  123    Placed 300000      M
## 124  124    Placed 240000      M
## 125  125    Placed 336000      M
## 126  126    Placed 360000      M
## 127  127    Placed 280000      M
## 129  129    Placed 325000      M
## 130  130    Placed 204000      M
## 131  131    Placed 240000      M
## 132  132    Placed 240000      M
## 133  133    Placed 336000      F
## 134  134    Placed 218000      M
## 135  135    Placed 216000      M
## 136  136    Placed 336000      M
## 137  137    Placed 190000      F
## 138  138    Placed 230000      F
## 139  139    Placed 390000      M
## 140  140    Placed 500000      M
## 141  141    Placed 270000      M
## 142  142    Placed 150000      F
## 143  143    Placed 240000      F
## 145  145    Placed 276000      F
## 146  146    Placed 300000      M
## 147  147    Placed 168000      M
## 148  148    Placed 300000      M
## 150  150    Placed 270000      M
## 151  151    Placed 360000      M
## 152  152    Placed 300000      M
## 153  153    Placed 400000      F
## 154  154    Placed 220000      M
## 155  155    Placed 180000      M
## 156  156    Placed 180000      M
## 157  157    Placed 210000      F
## 158  158    Placed 210000      F
## 159  159    Placed 300000      F
## 160  160    Placed 290000      F
## 161  161    Placed 180000      M
## 163  163    Placed 230000      F
## 164  164    Placed 282000      M
## 165  165    Placed 260000      M
## 167  167    Placed 180000      M
## 168  168    Placed 260000      M
## 169  169    Placed 400000      M
## 170  170    Placed 420000      M
## 171  171    Placed 144000      M
## 172  172    Placed 300000      F
## 173  173    Placed 150000      F
## 174  174    Placed 220000      F
## 177  177    Placed 380000      M
## 178  178    Placed 290000      M
## 179  179    Placed 300000      F
## 180  180    Placed 252000      F
## 181  181    Placed 280000      M
## 182  182    Placed 240000      M
## 183  183    Placed 360000      M
## 185  185    Placed 180000      M
## 186  186    Placed 450000      F
## 187  187    Placed 200000      M
## 188  188    Placed 300000      M
## 189  189    Placed 350000      M
## 190  190    Placed 550000      M
## 192  192    Placed 250000      M
## 193  193    Placed 250000      F
## 195  195    Placed 250000      M
## 196  196    Placed 280000      F
## 197  197    Placed 250000      M
## 198  198    Placed 216000      F
## 199  199    Placed 204000      M
## 200  200    Placed 300000      M
## 201  201    Placed 240000      M
## 202  202    Placed 276000      M
## 203  203    Placed 940000      M
## 205  205    Placed 250000      F
## 206  206    Placed 300000      M
## 207  207    Placed 180000      F
## 208  208    Placed 236000      F
## 209  209    Placed 240000      M
## 210  210    Placed 250000      M
## 211  211    Placed 350000      F
## 212  212    Placed 210000      M
## 213  213    Placed 210000      F
## 214  214    Placed 250000      F
## 215  215    Placed 400000      M
## 216  216    Placed 300000      M
## 217  217    Placed 480000      M
## 218  218    Placed 250000      M
## 219  219    Placed 320000      M
## 221  221    Placed 385000      M
## 222  222    Placed 360000      F
## 223  223    Placed 300000      M
## 224  224    Placed 375000      F
## 225  225    Placed 250000      M
## 227  227    Placed 250000      F
## 228  228    Placed 275000      F
## 229  229    Placed 200000      F
## 230  230    Placed 150000      F
## 232  232    Placed 300000      M
## 233  233    Placed 225000      M
## 234  234    Placed 120000      F
## 235  235    Placed 250000      F
## 237  237    Placed 220000      M
## 238  238    Placed 265000      M
## 239  239    Placed 265000      M
## 242  242    Placed 260000      M
## 243  243    Placed 300000      M
## 244  244    Placed 180000      M
## 245  245    Placed 530000      M
## 246  246    Placed 156000      M
## 247  247    Placed 263000      M
## 249  249    Placed 400000      M
## 250  250    Placed 233000      M
## 251  251    Placed 300000      M
## 253  253    Placed 240000      F
## 254  254    Placed 180000      M
## 255  255    Placed 350000      M
## 256  256    Placed 198000      M
## 257  257    Placed 250000      F
## 259  259    Placed 690000      M
## 260  260    Placed 270000      M
## 261  261    Placed 240000      F
## 262  262    Placed 300000      M
## 263  263    Placed 340000      M
## 264  264    Placed 250000      M
## 265  265    Placed 390000      M
## 267  267    Placed 255000      M
## 268  268    Placed 300000      M
## 270  270    Placed 150000      M
## 271  271    Placed 300000      M
## 273  273    Placed 270000      M
## 274  274    Placed 240000      F
## 275  275    Placed 180000      M
## 276  276    Placed 285000      M
## 277  277    Placed 400000      M
## 278  278    Placed 500000      M
## 279  279    Placed 250000      F
## 280  280    Placed 300000      M
## 281  281    Placed 240000      F
## 282  282    Placed 300000      M
## 283  283    Placed 240000      M
## 286  286    Placed 240000      M
## 292  292    Placed 476000      M
## 293  293    Placed 290000      M
## 294  294    Placed 690000      M
## 295  295    Placed 300000      M
## 296  296    Placed 250000      M
## 297  297    Placed 162000      F
## 299  299    Placed 260000      F
## 300  300    Placed 500000      M
## 302  302    Placed 220000      F
## 303  303    Placed 270000      M
## 304  304    Placed 650000      F
## 305  305    Placed 350000      M
## 306  306    Placed 300000      M
## 308  308    Placed 265000      M
## 309  309    Placed 180000      M
## 311  311    Placed 300000      F
## 312  312    Placed 300000      F
## 313  313    Placed 300000      F
## 314  314    Placed 220000      F
## 316  316    Placed 240000      M
## 319  319    Placed 276000      M
## 320  320    Placed 250000      M
## 321  321    Placed 180000      F
## 323  323    Placed 252000      F
## 325  325    Placed 280000      M
## 327  327    Placed 350000      F
## 331  331    Placed 216000      F
## 333  333    Placed 264000      M
## 334  334    Placed 270000      M
## 335  335    Placed 300000      F
## 337  337    Placed 275000      M
## 339  339    Placed 300000      M
## 340  340    Placed 250000      M
## 341  341    Placed 260000      F
## 342  342    Placed 185000      F
## 343  343    Placed 216000      F
## 345  345    Placed 265000      M
## 346  346    Placed 300000      M
## 347  347    Placed 325000      M
## 348  348    Placed 267000      M
## 349  349    Placed 264000      F
## 351  351    Placed 240000      M
## 353  353    Placed 260000      M
## 354  354    Placed 240000      F
## 356  356    Placed 250000      M
## 357  357    Placed 180000      F
## 358  358    Placed 366000      F
## 359  359    Placed 210000      F
## 360  360    Placed 250000      M
## 361  361    Placed 250000      M
## 362  362    Placed 426000      M
## 363  363    Placed 270000      M
## 365  365    Placed 300000      M
## 366  366    Placed 132000      M
## 367  367    Placed 144000      F
## 368  368    Placed 220000      M
## 369  369    Placed 216000      M
## 370  370    Placed 400000      M
## 371  371    Placed 275000      M
## 372  372    Placed 295000      M
## 373  373    Placed 360000      M
## 374  374    Placed 204000      F
## 378  378    Placed 350000      M
## 380  380    Placed 300000      F
## 381  381    Placed 180000      M
## 385  385    Placed 252000      M
## 387  387    Placed 162000      M
## 388  388    Placed 450000      M
## 389  389    Placed 240000      M
## 390  390    Placed 300000      F

Average salary of male and female MBAs who were placed.

aggregate(placed$Salary,list(Gender=placed$Gender),mean)
##   Gender        x
## 1      F 253068.0
## 2      M 284241.9

Running a t-test for the Hypothesis “The average salary of the male MBAs is higher than the average salary of female MBAs.”

t.test(Salary~Gender,placed)
## 
##  Welch Two Sample t-test
## 
## data:  Salary by Gender
## t = -3.0757, df = 243.03, p-value = 0.00234
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -51138.42 -11209.22
## sample estimates:
## mean in group F mean in group M 
##        253068.0        284241.9

Thus from the result of this test we can conclude that the average salary of the male MBAs is higher than the average salary of female MBAs.