Question

Use Minitab to simulate taking a random sample of 200 farm-raised turkey       (N(30, 8)).

1. Use Minitab to standardize all of your random numbers, then do a stem-and-leaf diagram of the standardized scores. (Remember, when you know the distribution, you standardize using the mean and standard deviation of the distribution, not of the sample.) Using the stem-and-leaf, state how many of the numbers in your sample actually are less than 14 or greater than 46.

Answer 1

We generate 200 samples from normal distribution with mean 30 and SD 8 from MINITAB

Rand Samples
32.5403 24.6795 36.5859 40.3381 28.4511 29.0952 36.0194
24.6429 18.3288 40.0967 24.5324 21.1511 36.9941 25.6406
25.0263 35.8954 28.0657 25.0828 20.7426 33.0909 29.4136
33.7302 24.6191 29.9499 18.4745 40.4092 28.0815 33.0798
31.5286 31.9570 25.2266 34.5090 23.8552 25.7223 41.8850
15.4066 24.8047 30.0748 35.7942 17.6657 28.7278 26.7572
25.2629 23.6538 26.9863 34.8362 27.8827 37.8789 18.5180
40.9143 29.3142 30.4312 43.4820 44.4711 32.8786 38.4475
33.5236 30.0825 35.3404 28.2815 30.1023 25.1153 39.8488
33.1509 42.3731 28.0978 30.3963 25.9451 26.1905 33.8672
29.1348 11.9472 16.1131 34.1687 23.9564 29.0558 14.7519
27.6297 29.7766 33.9581 36.0267 26.1697 17.9518 26.9941
19.9390 31.6943 19.0645 21.3021 32.4551 38.8826 42.7215
31.1311 29.1888 33.8804 15.9362 34.4801 18.5014 30.8686
24.2328 26.0035 33.9034 28.3204 37.6977 29.5169 31.8719
26.1930 26.1040 25.5310 47.5861 42.2314 31.9748 27.8701
15.0068 20.6529 29.3122 23.0906 37.8778 16.0301 31.3455
32.3588 33.0911 28.8799 20.1126 21.5999 37.8545 24.8018
39.7189 36.6221 18.6774 34.9034 28.5491 29.0428 29.0614
32.6515 37.7336 18.7124 26.8881 32.2691 25.9329 24.6988
31.8169 33.0173 39.0412 37.4041 35.5797 28.0378 30.2452
26.2942 27.7133 27.6286 34.6388 26.3297 32.5620 24.6964
31.8495 26.1700 35.0375 14.3373 29.4073 37.6925 46.8253
44.4071 28.0596 35.3848 25.7215 24.2884 34.0540 31.1530
34.1046 32.7144 15.7121 35.9978 39.4653 20.9635 7.9638
33.1526 38.0958 28.0531 41.5731 29.5289 39.2411 35.0461
50.5892 19.8596 31.7442 25.9951 23.7153 24.5746 44.2500
46.9930 23.3560 28.5799 35.1223 29.3007 27.9203 21.6452
22.5025 21.7250 28.4012 21.0754

Standardized scores
0.38244 -0.67319 0.92572 1.42959 -0.16670 -0.08021 0.84964
-0.67810 -1.52602 1.39717 -0.69295 -1.14701 0.98053 -0.54412
-0.62661 0.83299 -0.21846 -0.61902 -1.20187 0.45638 -0.03745
0.54223 -0.68129 0.03457 -1.50645 1.43914 -0.21633 0.45488
0.24657 0.30411 -0.59972 0.64681 -0.78388 -0.53316 1.63732
-1.91843 -0.65638 0.05135 0.81940 -1.61507 -0.12954 -0.39417
-0.59485 -0.81093 -0.36341 0.69075 -0.24303 1.09934 -1.50062
1.50696 -0.05079 0.09920 1.85179 1.98460 0.42787 1.17570
0.51447 0.05238 0.75846 -0.18948 0.05504 -0.61466 1.36389
0.46443 1.70287 -0.21414 0.09452 -0.50323 -0.47028 0.56062
-0.07489 -2.38300 -1.82357 0.60111 -0.77029 -0.08550 -2.00636
-0.27700 0.01130 0.57283 0.85062 -0.47307 -1.57664 -0.36236
-1.30979 0.26883 -1.42722 -1.12673 0.37100 1.23414 1.74966
0.19319 -0.06764 0.56239 -1.84732 0.64293 -1.50284 0.15794
-0.73317 -0.49539 0.56548 -0.18426 1.07502 -0.02358 0.29268
-0.46994 -0.48189 -0.55884 2.40293 1.68384 0.30650 -0.24472
-1.97213 -1.21392 -0.05107 -0.88656 1.09920 -1.83471 0.22198
0.35806 0.45640 -0.10912 -1.28647 -1.08675 1.09608 -0.65677
1.34644 0.93058 -1.47920 0.69977 -0.15355 -0.08724 -0.08474
0.39736 1.07984 -1.47450 -0.37660 0.34601 -0.50487 -0.67060
0.28529 0.44649 1.25544 1.03559 0.79060 -0.22220 0.07423
-0.45636 -0.26578 -0.27716 0.66424 -0.45158 0.38535 -0.67091
0.28966 -0.47303 0.71778 -2.06204 -0.03830 1.07431 2.30075
1.97602 -0.21928 0.76441 -0.53326 -0.72571 0.58571 0.19614
0.59250 0.40581 -1.87741 0.84674 1.31239 -1.17221 -2.91793
0.46466 1.12848 -0.22014 1.59544 -0.02197 1.28228 0.71893
2.80620 -1.32044 0.27552 -0.49652 -0.80267 -0.68727 1.95492
2.32328 -0.85092 -0.14940 0.72917 -0.05261 -0.23798 -1.08066
-0.96553 -1.06994 -0.17340 -1.15718

The numbers in your sample actually are less than 14 is 2 and that of greater than 46 is 2