Statistical Inferences Answers

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1
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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
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

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
8

Question text not available

Answers:
Blank 1:7.33
Blank 2:7.67
9

The confidence interval is ⇒ 7.33 to ⇒ 7.67.

Answers:
⇒ 7.33:0.27 to 0.39
⇒ 7.67:0.27 to 0.39
10

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.

11

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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