Chapter 6: Q. 6.22 (page 260)
What are the parameters for a normal curve?
The parameters of a normal curve are mean and standard deviation. We often identify a normal curve by stating the corresponding mean and standard deviation.
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According to Table II, the area under the standard normal curve that lies to the left of is . Without further consulting Table II, determine the area under the standard normal curve that lies to the right of . Explain your reasoning.
A variable is normally distributed with a mean and standard deviation. Find the percentage of all possible values of the variable that
a. lie between and .
b. are at least .
c. are at most .
We have provided a normal probability plot of data from a sample of a population. In each case, assess the normality of the variable under consideration.
Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those records reveal that the times between arriving patients have a special type of reverse-J-shaped distribution called an exponential distribution. The records also show that the mean time between arriving patients is 8 minutes.
a. Use the technology of your choice to simulate four random samples of interarrival times each.
b. Obtain a normal probability plot of each sample in part (a).
c. Are the normal probability plots in part (b) what you expected? Explain your answer.
Complete the following table
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