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Pulse Rates of Women Women have pulse rates that are

Chapter 6, Problem 18BSC

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QUESTION:

Pulse Rates of Women Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute (based on Data Set 1 in Appendix B).

a. Find the percentiles P 1 and P 99 .

b. Dr. Puretz sees exactly 25 female patients each day. Find the probability that 25 randomly selected women have a mean pulse rate between 70 beats per minute and 85 beats per minute.

c. If Dr. Puretz wants to select pulse rates to be used as cutoff values for determining when further tests should be required, which pulse rates are better to use: the results from part (a) or the pulse rates of 70 beats per minute and 85 beats per minute from part (b)? Why?

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QUESTION:

Pulse Rates of Women Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute (based on Data Set 1 in Appendix B).

a. Find the percentiles P 1 and P 99 .

b. Dr. Puretz sees exactly 25 female patients each day. Find the probability that 25 randomly selected women have a mean pulse rate between 70 beats per minute and 85 beats per minute.

c. If Dr. Puretz wants to select pulse rates to be used as cutoff values for determining when further tests should be required, which pulse rates are better to use: the results from part (a) or the pulse rates of 70 beats per minute and 85 beats per minute from part (b)? Why?

ANSWER:

Step 1 of 7

Given that the pulse rates of women are normally distributed.

The mean of the pulse rates is 77.5 beat per minute, that is, \(\mu  = 77.5\).

The standard deviation of the pulse rates is 11.6 beats per minute, that is, \(\sigma  = 11.6\).

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