Use the following information to answer the next four exercises: An unknown distribution has a mean...

Use the following information to answer the next four exercises: An unknown distribution has a mean of 80 and a standard
deviation of 12. A sample size of 95 is drawn randomly from the population.
7. Find the probability that the sum of the 95 values is greater than 7,650.
8. Find the probability that the sum of the 95 values is less than 7,400.
9. Find the sum that is two standard deviations above the mean of the sums.
10. Find the sum that is 1.5 standard deviations below the mean of the sums.

Use the following information to answer the next five exercises: The distribution of results from a cholesterol test has a
mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly.
11. Find the probability that the sum of the 40 values is greater than 7,500.
12. Find the probability that the sum of the 40 values is less than 7,000.
13. Find the sum that is one standard deviation above the mean of the sums.
14. Find the sum that is 1.5 standard deviations below the mean of the sums.
15. Find the percentage of sums between 1.5 standard deviations below the mean of the sums and one standard deviation
above the mean of the sums

Expert Solution

Solution :

a) The probability that the sum of the 95 values is greater than 7,650 is

b) The probability that the sum of the 95 values is less than 7,400.is

c) The sum that is two standard deviations above the mean of the sums is

d) The sum that is 1.5 standard deviations below the mean of the sums is

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