Quiz about Margin of Error

Question 1

A study was commissioned to find the average water bill of a particular town.

The confidence interval created was between $44-$56.

What was the average of the sample?

Accepted Answer

$50

Answer

$44

Answer

$52

Answer

$54

Question 2

A study by the department of education in a certain state found that there was a mean SAT score of 534 with a margin of error of 20.

Which score(s) would fall outside the confidence interval?

Accepted Answer

505

Accepted Answer

558

Answer

530

Answer

550

Question 3

A study by the department of education in a certain state found that there was a mean SAT score of 534 with a margin of error of 20.

Create a confidence interval for the true mean.

Accepted Answer

(514, 554)

Answer

(534, 554)

Answer

(514, 534)

Question 4

Determine whether the action would increase or decrease the margin of error:

Increase the sample size

Accepted Answer

Margin of error decreases

Answer

Margin of error increases

Question 5

Determine whether the action would increase or decrease the margin of error:

Increase the confidence level from 95% to 99.7%

Accepted Answer

Margin of error increases

Answer

Margin of error decreases

Question 6

Determine whether the action would increase or decrease the margin of error:

Decrease the confidence level from 95% to 68%

Accepted Answer

Margin of error decreases

Answer

Margin of error increases

Question 7

Determine whether the action would increase or decrease the margin of error:

Decrease the sample size

Accepted Answer

Margin of error increases

Answer

Margin of error decreases

Question 8

A random sample of 40 bags of Doritos was obtained.

The mean weight was 15.5 oz with a standard deviation of 0.2 oz.

Find the standard deviation of the sample.

Accepted Answer

$$\frac{0.2}{\sqrt[]{40}}$$

Answer

$$\frac{5.5}{\sqrt[]{40}}$$

Answer

$$2\cdot\frac{0.2}{\sqrt[]{40}}$$

Question 9

A random sample of 40 bags of Doritos was obtained.

The mean weight was 15.5 oz with a standard deviation of 0.2 oz.

At a 95% confidence level, find the margin of error of the sample.

Accepted Answer

$$2\cdot\frac{0.2}{\sqrt[]{40}}$$

Answer

$$\frac{0.2}{\sqrt[]{40}}$$

Answer

$$\frac{5.5}{\sqrt[]{40}}$$

Question 10

A survey was given to a random sample of 120 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 66 respondents said that they preferred Candidate A.

What percentage of people preferred Candidate A.

Accepted Answer

65%

Answer

35%

Answer

66%

Answer

95%

Question 11

A survey was given to a random sample of 120 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 66 respondents said that they preferred Candidate A.

What percentage of people preferred Candidate A.

What is the standard deviation of the sampling distribution?

Accepted Answer

$$\sqrt[]{\frac{0.55\left(0.45\right)}{120}}$$

Answer

$$\sqrt[]{\frac{0.66\left(0.34\right)}{120}}$$

Answer

$$\sqrt[]{\frac{0.55\left(0.45\right)}{66}}$$

Question 12

A study was commissioned to find the average water bill of a particular town.

The confidence interval created was between $44-$56.

What was the margin of error?

Accepted Answer

$6

Answer

$4

Answer

$50

Answer

$12

Margin of Error

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