Large Data Sets. In Exercises 33 and 34, refer to the data sets in Appendie B an

Question

Large Data Sets. In Exercises 33 and 34, refer to the data sets in Appendie B and we computer software or a calculator. 33. Appendix B Data Set: Pulse Rates of Males Refer to Data Set 1 in Appendix B and use the pulse rates of males. a. Find the mean and standard deviation, and verify that the pulse rates have a distribution that is roughly normal. b. Treating the unrounded values of the mean and standard deviation as parameters, and assuming that male pulse rates are normally distributed, find the pulse rate separating the lowest 2.5% and the pulse rate separating the highest 2.5%. These ful when physicians try to determine whether pulse rates are unusually low or un high. values could be help- usually

Explanation / Answer

a.

Mean = 67.225

Standard deviation = 10.38857

Distribution : The curve is a normal bell shaped curve with right tail. This is evident from the skewness value (= 0.267)

b. From the normal table, the z* for 0.975 (2.5% is 0.025; 1-0.025=0.975) is 1.96

For lowest 2.5% (lowest values occur in the left side of the mean and hence the negative sign):

x* = std dev(-z*) + mean

= 10.38857*(-1.96) + 67.225 = 46.8634 ~ 47

Therefore, pulse rate for separating lowest 2.5% is 47

For highest 2.5%:

x* = std dev(z*) + mean

= 10.38857*(1.96) + 67.225 = 87.5866 ~ 88

Therefore, pulse rate for separating highest 2.5% is 88

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