Central Limit Theorem for Sums
Authored by Geoffrey Lufanana
Mathematics
11th - 12th Grade
CCSS covered
Used 23+ times
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20 questions
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1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the probability that the sum of the 95 values is greater than 7,650.
(give the answer to 4 decimal places)
(a)
Tags
CCSS.HSS.ID.A.4
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the probability that the sum of the 95 values is less than 7,400.
(give the answer to 4 decimal places)
(a)
Tags
CCSS.HSS.ID.A.4
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the sum that is two standard deviations above the mean of the sums.
(give the answer to 2 decimal places)
(a)
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the sum that is 1.5 standard deviations below the mean of the sums.
(give the answer to 2 decimal places)
(a)
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the probability that the sum of the 40 values is greater than 7,500.
(give the answer to 4 decimal places)
(a)
Tags
CCSS.HSS.ID.A.4
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the probability that the sum of the 40 values is less than 7,000.
(give the answer to 4 decimal places)
(a)
Tags
CCSS.HSS.ID.A.4
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
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.
Find the sum that is one standard deviation above the mean of the sums.
(give the answer to 2 decimal places)
(a)
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