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Confidence Interval

Authored by Eric Williams

Mathematics

11th Grade

CCSS covered

Confidence Interval
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18 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?

We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.

We are 95% confident that the interval (150, 350) captures the true average caloric content.

We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.

None of these are correct.

Tags

CCSS.HSS.IC.B.4

2.

MULTIPLE CHOICE 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.


What is the Confidence Interval to one decimal place?

(114.5, 125.6)

(112.8, 127.4)

(112.82, 127.38)

(114.56, 125.64)

Tags

CCSS.HSS.IC.B.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the confidence interval for a mean of 142.5 and a margin of error of 5.2.

(5.2, 142.5)

(137.5, 142.5)

(142.5, 147.5)

(137.3, 147.7)

Tags

CCSS.HSS.IC.B.4

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

If using a 95% confidence level, what value of z should you use?

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which symbol represents the mean of a sample?

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

If using a 99% confidence level, what value of z should you use?

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What can you do to reduce the margin of error? 

increase the confidence level
decrease the confidence level
increase sample size
decrease sample size

Tags

CCSS.HSS.IC.B.4

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