AnswersAZ-Common Core Algebra II BStatistical Inferences

Statistical Inferences Answers

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Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1.6. What is the margin of error, assuming a 99% confidence level?

A
4.12
B
0.01
C
0.20
D
20.5
2
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A confidence level of 95% means:

A
95% of the time, sample percentages will fall above the mean.
B
95% of the time, population data will fall between 149.61 and 150.39.
C
the mean of 95% of the adults in the sample was 150.
3

Question text not available

Answer not available
4

What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.

Answer:

2.6

5

The margin of error, assuming a 95% confidence level, is approximately . Round to the nearest hundredth

Answer:

0.04

6

You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. The study is reported with 90% confidence level. Explain how to determine if 48.8 is within the confidence interval.

Question illustration
Answer:

To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size. The z*-score for a 90% confidence level is 1.645. The margin of error is 0.20. The confidence interval is 48.3 to 48.7. 48.8 is not within the confidence interval.

7

Which of the following criteria are necessary conditions for making a statistical inference?

A
sample size greater than 30, or an approximately normal data set
B
sample size greater than 100
C
convenience sample
D
simple random sample
E
systematic sample
8

What range of values shows the confidence interval for the study?

A
146.1 to 153.9
B
149.61 to 150.39
C
150 to 150.39
D
150 to 153.9
9

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1.6. What is the margin of error, assuming a 99% confidence level?

A
4.12
B
0.01
C
0.20
D
20.5
10

What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.

Answer:

2.6

11

The margin of error, assuming a 95% confidence level, is approximately . Round to the nearest hundredth

Answer not available
12

You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. The study is reported with 90% confidence level. Explain how to determine if 48.8 is within the confidence interval.

Question illustration
Answer:

To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size. The z*-score for a 90% confidence level is 1.645. The margin of error is 0.20. The confidence interval is 48.3 to 48.7. 48.8 is not within the confidence interval.

13

The margin of error for a 95% confidence level will be greater than 0.3.less than 0.3.equal to 0.3.

A
greater than 0.3.
B
less than 0.3.
C
equal to 0.3.
14

The confidence interval is ⇒ 7.33 to ⇒ 7.67.

Answers:
⇒ 7.33:0.27 to 0.39
⇒ 7.67:0.27 to 0.39
15

Which of the following did you include in your explanation?

A
To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.
B
The z*-score for a 90% confidence level is 1.645.
C
The margin of error is 0.20.
D
The confidence interval is 48.3 to 48.7.
E
48.8 is not within the confidence interval.
16

A confidence level of 95% means:

A
95% of the time, sample percentages will fall above the mean.
B
95% of the time, population data will fall between 149.61 and 150.39.
C
the mean of 95% of the adults in the sample was 150.
17

The margin of error for a 95% confidence level will be

A
greater than 0.3.
B
less than 0.3.
C
equal to 0.3.
18

Which of the following did you include in your explanation?

A
To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.
B
The z*-score for a 90% confidence level is 1.645.
C
The margin of error is 0.20.
D
The confidence interval is 48.3 to 48.7.
E
48.8 is not within the confidence interval.

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