Explain what the mean m tells us about a normal curve if


1. List five important properties of the normal probability curve.

2. Explain what the mean, m, tells us about a normal curve, and explain what the standard deviation, s, tells us about a normal curve.

3. If the random variable x is normally distributed, what percentage of all possible observed values of x will be

a. Within one standard deviation of the mean?

b. Within two standard deviations of the mean?

c. Within three standard deviations of the mean?

3. Explain how to compute the z value corresponding to a value of a normally distributed random variable. What does the z value tell us about the value of the random variable?

4. Explain how x relates to the mean m if the z value corresponding to x

a. Equals zero.

b. Is positive.

c. Is negative.

5. Why do we compute z values when using the normal table? Explain.

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Applied Statistics: Explain what the mean m tells us about a normal curve if
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