It is believed that first-year salaries for newly qualified accountants follow a normal distrib- ution with standard

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It is believed that first-year salaries for newly qualified accountants follow a normal distrib- ution with standard deviation $2,500. A random sample of sixteen observations was taken.

(a) Find the probability that the sample standard deviation is more than $3,000.

(b) Find the probability that the sample standard deviation is less than $1,500.

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