1 answer

The pulse rates of 177 randomly selected adult males vary from a low of 44 bpm...

Question:

The pulse rates of 177 randomly selected adult males vary from a low of 44 bpm to a high of 108 bpm. Find the minimum sample
The pulse rates of 177 randomly selected adult males vary from a low of 44 bpm to a high of 108 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% 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 o (Round up to the nearest whole number as needed) b. Assume that o = 12.5 bpm, based on the value s = 12.5 bpm from the sample of 177 male pulse rates n (Round up to the nearest whole number as needed) c. Compare the results from parts (a) and (b). Which result is likely to be better? The result from part (a) is the result from part(b). The result from is likely to be better because

Answers

The range rule of thumb is a handy method of estimating the range from the standard deviation. It tells us that the range is generally about four times the standard deviation.

i.e. Range = 4*sigma

Sigma = (max - min )/4 = (108-44)/4= 16

2. n 2 zo ME n Sample Size o standard deviation of population Zc Z-value from table for confidence level ME margin of errorZc= 1.64 ; sigma= 16 ;

ME=3

n= ( 1.64*16/3)^2 = 76.957

b) Given that, sigma=12.5

ME=3

n>= 46.9712

c) Since, the sample size obtained in a) is greater than sample size obtained in b) , because the standard deviation obtained by range rule of thumb is greater than sample sd= 12.5 .

.

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