B. A collar manufacturer is considering the production of a new collar to young men. The following are the statistics of neck circumference available based on the measurement of a typical group of college students: 13.0 13.5 14.0 14.5 15.0 15.5 16.0 Mid-value(in inches) Number of 12.0 12.5 16 36 60 76 37 18 3 2 students Compute the standard deviation and use the criterion xt33, where o is the standard deviation and & is the arithmetic mean to determine the largest and smallest size of the collar he should make in order to meet the needs of practically all the customers bearing in mind that collar are worn on average half inch longer neck size. 21

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