Intro to Confidence Intervals

Intro to Confidence Intervals

12th Grade

7 Qs

quiz-placeholder

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Intro to Confidence Intervals

Intro to Confidence Intervals

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Barbara White

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the standard deviation of the distribution?

1010
20
60
√20

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

You sample 16 students in your school, and they average 13 hours of TV a week. Assume the standard deviation is 3. Find a 99% Confidence Interval.

Which of the following is incorrect?

μ = 13

σ = 3

Z = 1.645

n = 16

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

True or False:


The larger your confidence interval is, the more sure (higher confidence level) you can be.

True

False

4.

MULTIPLE CHOICE QUESTION

15 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 (z) value.

0.90

1.155

1.645

±1.645

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which one is the correct setup for this scenario?

300 hundred eggs were randomly chosen from a fish.

The mean weight was 0.978 g with a standard deviation of

0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

300 hundred eggs were randomly chosen from a fish.

The mean weight was 0.978 g with a standard deviation of

0.042. Find the 95% confidence interval for the mean weight of the salmon eggs.

(0.973, 0.983)

(1.936, 1.984)

(0.971, 0.988)

7.

MULTIPLE CHOICE QUESTION

15 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.

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