Here is a small data set:

                                            obs    x
                                             1    47
                                             2    46
                                             3    48
                                             4    34
                                             5    60
                                             6    59
                                             7    40
                                             8    51
                                             9    55
                                            10    56

and here is a set of uniform random numbers:

                                         obs     u
                                          1    0.85948
                                          2    0.49861
                                          3    0.29597
                                          4    0.53361
                                          5    0.78834
                                          6    0.37554
                                          7    0.02472
                                          8    0.84929
                                          9    0.44046
                                         10    0.07480

i) Calculate the sample mean of x from the original data.

ii) Use the random numbers to draw a bootstrap sample of x values, using the method illustrated in our SAS programs.

iii) Calculate the sample mean from your bootstrap sample.