Suppose the neck size of men is normally distributed, with a mean of 15.5 inches and a standard deviation of 0.5 inch. A shirt manufacturer is going to introduce a new line of shirts. Assume that if your neck size falls between two shirt sizes, you purchase the next larger shirt size. How many shirts of the 15 size should be included in a batch of 1,000 shirts?

Question

Standard Normal Distribution; z-scores
 z      0.00      0.01     0.02      0.03     0.04      0.05     0.06      0.07     0.08      0.090.0    0.0000  0.0040  0.0080  0.0120  0.0160  0.0199  0.0239  0.0279  0.0319  0.03590.1    0.0398  0.0438  0.0478  0.0517  0.0557  0.0596  0.0636  0.0675  0.0714  0.07530.2    0.0793  0.0832  0.0871  0.0910  0.0948  0.0987  0.1026  0.1064  0.1103  0.11410.3    0.1179  0.1217  0.1255  0.1293  0.1331  0.1368  0.1406  0.1443  0.1480  0.15170.4    0.1554  0.1591  0.1628  0.1664  0.1700  0.1736  0.1772  0.1808  0.1844  0.18790.5    0.1915  0.1950  0.1985  0.2019  0.2054  0.2088  0.2123  0.2157  0.2190  0.22240.6    0.2257  0.2291  0.2324  0.2357  0.2389  0.2422  0.2454  0.2486  0.2517  0.25490.7    0.2580  0.2611  0.2642  0.2673  0.2704  0.2734  0.2764  0.2794  0.2823  0.28520.8    0.2881  0.2910  0.2939  0.2967  0.2995  0.3023  0.3051  0.3078  0.3106  0.31330.9    0.3159  0.3186  0.3212  0.3238  0.3264  0.3289  0.3315  0.3340  0.3365  0.33891.0    0.3413  0.3438  0.3461  0.3485  0.3508  0.3531  0.3554  0.3577  0.3599  0.36211.1    0.3643  0.3665  0.3686  0.3708  0.3729  0.3749  0.3770  0.3790  0.3810  0.38301.2    0.3849  0.3869  0.3888  0.3907  0.3925  0.3944  0.3962  0.3980  0.3997  0.40151.3    0.4032  0.4049  0.4066  0.4082  0.4099  0.4115  0.4131  0.4147  0.4162  0.41771.4    0.4192  0.4207  0.4222  0.4236  0.4251  0.4265  0.4279  0.4292  0.4306  0.43191.5    0.4332  0.4345  0.4357  0.4370  0.4382  0.4394  0.4406  0.4418  0.4429  0.44411.6    0.4452  0.4463  0.4474  0.4484  0.4495  0.4505  0.4515  0.4525  0.4535  0.45451.7    0.4554  0.4564  0.4573  0.4582  0.4591  0.4599  0.4608  0.4616  0.4625  0.46331.8    0.4641  0.4649  0.4656  0.4664  0.4671  0.4678  0.4686  0.4692  0.4699  0.47061.9    0.4713  0.4719  0.4726  0.4732  0.4738  0.4744  0.4750  0.4756  0.4761  0.47672.0    0.4772  0.4778  0.4783  0.4788  0.4793  0.4798  0.4803  0.4808  0.4812  0.48173.0    0.4987  0.4987  0.4987  0.4988  0.4988  0.4989  0.4989  0.4989  0.4990  0.4990?

A. 341
B. 131
C. 136
D. 139
E. 146

Answer 1

Answer: C