A man's score on a standardized test of antisocial tendencies is the 73rd percentile. What does this mean?

He has 73% of the tendencies measured by the test.

He answered 73% of the questions the way his therapist hoped he would.

He has a 73% chance of being antisocial.

His score is greater than or equal to 73% of all scores on the test.

Each of the following statements is true. Which one is true because of the Law of Large Numbers?

If the sample size is large, the sample mean x

{"version":"1.1","math":"bar{x}"} will likely be close to the population mean μ

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If the sample size is large, the distribution of sample means is approximately normal.

A distribution of sample means is normal if the parent distribution is normal.

If data are random then sample means are also random.

An Introductory Statistics class was asked whether they would take a second semester of Statistics. Thirteen (13) of the 30 students surveyed said, "no" and the other 17 said, "yes." If a student from the class is selected at random, what is the probability of selecting a student that said, "yes?"

Give the probability of selecting a student that said, "yes."

The distribution of hourly wages in the U.S. is skewed right. Can the 68-95-99.7% Rule (also known as the Empirical Rule) be used with this distribution? Explain.

Question options:

Yes. The rule can be used with bell-shaped data.

Yes. The rule only applies to skewed data.

No. The rule does not apply to bell-shaped data.

No. The rule cannot be used with skewed data.