### Estimating the Mean Pulse Rate of Adult MalesThe pulse rates of 167 randomly selected adult males vary from a low of 39 bpm (beats per minute) to a high of 119 bpm. The goal is to determine the minimum sample size required to estimate the mean pulse rate of adult males with 95% confidence that the sample mean is within 4 bpm of the population mean. Complete the following parts (a) through (c) to find the solution.#### a. Sample Size Estimation Using Range Rule of ThumbFind the sample size $ n $ using the range rule of thumb to estimate the standard deviation $ \sigma $.\[ n = \](Round up to the nearest whole number as needed.)#### b. Sample Size Estimation with Assumed Standard DeviationAssume that $ \sigma = 11.5 $ bpm, based on the value $ s = 11.5 $ bpm from the sample of 167 male pulse rates.\[ n = \](Round up to the nearest whole number as needed.)#### c. Comparison of ResultsCompare the results from parts (a) and (b). Which result is likely to be better?The result from part (a) is \[ \text{ } \] the result from part (b). The result from \[ \text{ } \] is likely to be better because \[ \text{ } \].

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The pulse rates of 167 randomly selected adult males vary from a low of 39 bpm to a high of 119 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 4 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. n= (Round up to the nearest whole number as needed.) b. Assume that o = 11.5 bpm, based on the value s = 11.5 bpm from the sample of 167 male pulse rates. n=O (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 V the result from part (b). The result from V is likely to be better because

The pulse rates of 167 randomly selected adult males vary from a low of 39 bpm to a high of 119 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 4 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. n= (Round up to the nearest whole number as needed.) b. Assume that o = 11.5 bpm, based on the value s = 11.5 bpm from the sample of 167 male pulse rates. n=O (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 V the result from part (b). The result from V is likely to be better because

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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### Estimating the Mean Pulse Rate of Adult Males

The pulse rates of 167 randomly selected adult males vary from a low of 39 bpm (beats per minute) to a high of 119 bpm. The goal is to determine the minimum sample size required to estimate the mean pulse rate of adult males with 95% confidence that the sample mean is within 4 bpm of the population mean. Complete the following parts (a) through (c) to find the solution.

#### a. Sample Size Estimation Using Range Rule of Thumb
Find the sample size $ n $ using the range rule of thumb to estimate the standard deviation $ \sigma $.

\[ n = \]
(Round up to the nearest whole number as needed.)

#### b. Sample Size Estimation with Assumed Standard Deviation
Assume that $ \sigma = 11.5 $ bpm, based on the value $ s = 11.5 $ bpm from the sample of 167 male pulse rates.

\[ n = \]
(Round up to the nearest whole number as needed.)

#### c. Comparison of Results
Compare the results from parts (a) and (b). Which result is likely to be better?

The result from part (a) is \[ \text{ } \] the result from part (b). The result from \[ \text{ } \] is likely to be better because \[ \text{ } \].

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