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 17 size should be included in a batch of 1,000 shirts? Round your answer to the nearest number.

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?
__________ shirt(s)

Fill in the blank(s) with the appropriate word(s).

Answer 1

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