Question

Toolworkers are subject to work-related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately $30,000 per injured worker. Suppose these costs are normally distributed, with a standard deviation of $9,000. *(Round the values of z to 2 decimal places, e.g. 0.12. Round your answer to 3 decimal places, e.g. 0.122.) **(Round the values of z to 2 decimal places, e.g. 0.12. Round your answers to 4 decimal places, e.g. 0.1236.) (a) What proportion of the costs are between $15,000 and $45,000? .9044 (b) What proportion of the costs are greater than $50,000? .0131 (c) What proportion of the costs are between $5,000 and $20,000? (d) Suppose the standard deviation is unknown, but the mean is still $30,000 and 90.82% of the costs are more than $7,000. What would be the value of the standard deviation? (e) Suppose the mean value is unknown, but the standard deviation is still $9,000. How much would the average cost be if 79.95% of the costs were less than $33,000? $

          Toolworkers are subject to work-related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately $30,000 per injured worker. Suppose these costs are normally distributed, with a standard deviation of $9,000.

*(Round the values of z to 2 decimal places, e.g. 0.12. Round your answer to 3 decimal places, e.g. 0.122.)
**(Round the values of z to 2 decimal places, e.g. 0.12. Round your answers to 4 decimal places, e.g. 0.1236.)

(a) What proportion of the costs are between $15,000 and $45,000? .9044
(b) What proportion of the costs are greater than $50,000? .0131
(c) What proportion of the costs are between $5,000 and $20,000?
(d) Suppose the standard deviation is unknown, but the mean is still $30,000 and 90.82% of the costs are more than $7,000. What would be the value of the standard deviation?
(e) Suppose the mean value is unknown, but the standard deviation is still $9,000. How much would the average cost be if 79.95% of the costs were less than $33,000? $

Toolworkers are subject to work-related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately 30,000 per injured worker. Suppose these costs are normally distributed, with a standard deviation of9,000.

*(Round the values of z to 2 decimal places, e.g. 0.12. Round your answer to 3 decimal places, e.g. 0.122.)
**(Round the values of z to 2 decimal places, e.g. 0.12. Round your answers to 4 decimal places, e.g. 0.1236.)

(a) What proportion of the costs are between 15,000 and45,000? .9044
(b) What proportion of the costs are greater than 50,000? .0131
(c) What proportion of the costs are between5,000 and 20,000?
(d) Suppose the standard deviation is unknown, but the mean is still30,000 and 90.82% of the costs are more than $7,000. What would be the value of the standard deviation?
(e) Suppose the mean value is unknown, but the standard deviation is still 9,000. How much would the average cost be if 79.95% of the costs were less than $33,000? $

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