**Q:** A variable is normally distributed with mean 6 and standard deviation 2

A variable is normally distributed with mean 6 and standard deviation 2. Find the percentage of all possible values of the variable that a. lie between 1 and 7. b. exceed 5. c. are less than 4.

See Answer**Q:** State the empirical rule as specialized to variables.

State the empirical rule as specialized to variables.

See Answer**Q:** Explain why the percentage of all possible observations of a normally distributed

Explain why the percentage of all possible observations of a normally distributed variable that lie within two standard deviations to either side of the mean equals the area under the standard normal...

See Answer**Q:** Briefly, for a normally distributed variable, how do you obtain

Briefly, for a normally distributed variable, how do you obtain the percentage of all possible observations that lie within a specified range?

See Answer**Q:** In an experiment reported by J. Singer and D. Andrade

In an experiment reported by J. Singer and D. Andrade in the article “Regression Models for the Analysis of Pretest/Posttest Data” (Biometrics, Vol. 53, pp. 729–735), the effect of using either a conv...

See Answer**Q:** In this section, we mentioned that the total area under any

In this section, we mentioned that the total area under any curve representing the distribution of a variable equals 1. Explain why.

See Answer**Q:** Is an extreme observation necessarily an outlier? Explain your answer.

Is an extreme observation necessarily an outlier? Explain your answer.

See Answer**Q:** Illustrate your work with graphs.
Determine the two z-

Illustrate your work with graphs. Determine the two z-scores that divide the area under the standard normal curve into a middle 0.99 area and two outside 0.005 areas.

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