Applications with Standard Normal Distribution

Question 1

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

Revolt · Accepted Answer

sample size greater than 30, or an approximately normal data set; simple random sample

Question 2

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

Revolt · Accepted Answer

149.61 to 150.39

Question 3

A confidence level of 95% means:

Revolt · Accepted Answer

95% of the time, population data will fall between 149.61 and 150.39.

Question 4

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?

Revolt · Accepted Answer

0.20

Question 5

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

Revolt · Accepted Answer

2.6

Question 6

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

Revolt · Accepted Answer

greater than 0.3.

Question 7

. Round to the nearest hundredth

Revolt · Accepted Answer

0.04

Question 8

The confidence interval is to .

Revolt · Accepted Answer

Part 1: 7.33; Part 2: 0.27 to 0.39

Question 9

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.

Revolt · Accepted 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.

Question 10

Which of the following did you include in your explanation?

Revolt · Accepted 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.

Applications with Standard Normal Distribution Answers

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