1. Suppose annual salaries for sales associates from a particular store have a m

Question

1.      Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500. Calculate and interpret the z-score for a sales associate who makes $36000.  

Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped.  Use the empirical rule to calculate the percentage of sales associates with salaries between $27500,000 and $37,500.  I really need the solution for this problem to study.

I I

Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500. Calculate and interpret the z-score for a sales associate who makes $36000. Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. Use the empirical rule to calculate the percentage of sales associates with salaries between $27500,000 and $37,500. I really need the solution for this problem to study.

Explanation / Answer

1.

z=(36000-32500)/2500=1.4

27500<Sallery<37500

(27500-32500)/2500<z<(37500-32500)/2500

-2<z<2

=> P(-2<z<2)=1-2P(z<-2)=0.9544

so the 95.44 percentage of sales associates with salaries between $27500 and $37,500.

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