Question

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.

Answer #1

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}
= Z_{0.005} = 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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