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Central Limit Theorem for Sums

Authored by Geoffrey Lufanana

Mathematics

11th - 12th Grade

CCSS covered

Used 23+ times

Central Limit Theorem for Sums
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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)

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)

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)

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)

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)

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)

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)

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