Problem 7E Cost of Knee Replacement Surgery U.S. insurers’ costs for knee replacement surgery range from $I7, 627 to $25,462. Estimate the population variance (standard deviation) in cost with 98% confidence based on a random sample of 10 persons who have had this surgery. The retail costs (for uninsured persons) for the same procedure range from $40,640 to $58,702. Estimate the population variance and standard deviation in cost with 98% confidence based on a sample of 10 persons, and compare your two intervals. Source: Time Almanac.
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Textbook Solutions for Elementary Statistics: A Step By Step Approach
Question
Problem 7E
Cost of Knee Replacement Surgery U.S. insurers’ costs for knee replacement surgery range from $I7, 627 to $25,462. Estimate the population variance (standard deviation) in cost with 98% confidence based on a random sample of 10 persons who have had this surgery. The retail costs (for uninsured persons) for the same procedure range from $40,640 to $58,702. Estimate the population variance and standard deviation in cost with 98% confidence based on a sample of 10 persons, and compare your two intervals.
Source: Time Almanac.
Solution
Solution
Step 1 of 5
We have to estimate 98% confidence intervals for population variance and standard deviation for insurer’s cost
And also we have to estimate 98% confidence intervals for population variance and standard deviation for retail cost
Now let’s find for insurer’s cost
Given sample size
And the confidence level is 98%
Then
Here the standard deviation can be calculated by taking one fourth of the range
The given surgery range is $17,627 to $25,462
Now
=1958.75
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