Question

Gender   Facebook Friends
Man   419
Woman   1030
Woman   561
Woman   655
Woman   625
Man   50
Woman   336
Man   292
Man   1810
Woman   514
Man   743
Woman   399
Man   525
Woman   222
Woman   435
Man   936
Woman   1714
Man   260
Man   238
Woman   1047
Woman   1414
Woman   225
Man   1342
Man   659
Woman   624
Man   1862
Woman   354
Man   640
Man   768
Man   496
Woman   2278
Woman   771
Woman   307
Man   914
Woman   776
Woman   307
Woman   560
Woman   1795
Woman   487
Man   640
Woman   719
Man   384
Man   769
Woman   281
Man   904
Man   1268
Woman   1695
Woman   535
Woman   502
Woman   1118
Woman   1220
Woman   232
Woman   56
Woman   994
Man   427
Man   882
Man   537
Woman   486
Woman   206
Man   1026
Man   352
Man   1354
Man   2512
Woman   537
Woman   284
Man   475
Man   1224
Man   1255
Man   914
Man   989
Man   704
Woman   451
Woman   1017
Woman   696
Woman   1457
Woman   465
Woman   532
Woman   481
Woman   130
Man   2540
Woman   669
Woman   732
Man   836
Man   947
Man   1213
Man   150
Man   793
Man   233
Man   701
Woman   416
Woman   278
Woman   47
Man   6
Man   203
Man   1095
Man   714
Woman   264
Woman   237
Man   729
Man   332
Man   4
Woman   299
Woman   443
Man   244
Man   87
Woman   227
Man   133
Woman   623
Woman   150
Man   520
Woman   1112
Woman   507
Man   89
Man   594
Woman   296
Woman   178
Man   922
Man   567
Woman   216
Man   145
Woman   228
Man   368
Man   13
Woman   753
Man   590
Man   1040
Man   775
Woman   788
Woman   858
Man   771

C. Use Minitab Express and the five-step hypothesis testing procedure given below to determine if American men and women differ in the population in terms of the number of friends they have on Facebook on average. If assumptions are met, use a t distribution to approximate the sampling distribution. Do not do any calculations by hand. Remember to include all relevant Minitab Express output. [30 points]

Step 1: Check assumptions and write hypotheses

Step 2: Calculate the test statistic

Step 3: Determine the p-value

Step 4: Decide between the null and alternative hypotheses

Step 5: State a real world conclusion

Answer 1

(1) Both sample sizes are > 30. Normal distribution can be assumed. We can also assume that the variances for the two groups are equal.

Ho: Men and women have equal number of FB friends on average

Ha: Men and women have significantly different number of FB friends on average

(2) Test statistic, t = 1.14

(3) p- value = 0.257

(4) Since 0.257 > 0.05, fail to reject Ho

(5) There is no sufficient evidence that men and women have significantly different number of FB friends on average.

Minitab Output: