Statistical Inferences Answers

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1
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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
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

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5

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.

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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.

6

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.
7

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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Statistical Inferences Answers — AZ-Common Core…