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Confidence Intervals

Authored by Mackenzie Robinson

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Confidence Intervals
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13 questions

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1.

MATH RESPONSE QUESTION

3 mins • 1 pt

A sample size of n = 64 is drawn from a population whose standard deviation is σ = 5.6.


Find the margin of error for a 99% confidence interval for µ.

Mathematical Equivalence

ON

2.

DROPDOWN QUESTION

5 mins • 1 pt

A large sample has mean of 7.1 and Standard Error of 2.3. (a)  

(3.32, 10.88)
(3.8, 7.1)
(3.3, 10.9)
(3.3165, 10.8835)

3.

MATH RESPONSE QUESTION

2 mins • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


What is the point estimate?

Mathematical Equivalence

ON

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


Find the critical value.

Mathematical Equivalence

ON

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


Find the Standard Error.

75

10

105.2

1.155

Tags

CCSS.HSS.IC.B.4

6.

MATH RESPONSE QUESTION

2 mins • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


Find the Margin of Error to two decimal places.

Mathematical Equivalence

ON

7.

DRAG AND DROP QUESTION

5 mins • 1 pt

The lifetime of a certain type of batter is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery. (a)  

(114.5, 125.6)
(112.8, 127.4)
(112.82, 127.38)
(114.56, 125.64)

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