he pulse rates of 161 randomly selected adult males vary from a low of 42 bpm to a high of 102 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 99% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate sigma.
Solution :
Given that,
Maximum = 42
Minimum = 102
Range = maximum - minimum = 102 - 42 = 60
Using Range rule of thumb
Standard deviation = Range / 4 = 60 / 4 = 15
Population standard deviation = = 15
Margin of error = E = 3
At 99% confidence level the z is ,
= 1 - 99% = 1 - 0.99 = 0.01
/ 2 = 0.01 / 2 = 0.005
Z/2 = Z0.005 = 2.576
sample size = n = (Z/2* / E) 2
n = (2.576 * 15 / 3)2
n = 165.89
n = 166
Sample size = 166
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