Question

A new drug results in lowering he heart rate by varying amounts with a standard deviation of 2.49 beats per minute. Find a 95% Confidence interval for the mean lowering of the heart rate in all patients if a 50 person simple random sample averages a drop of 5.32 beats per minutes

Answer 1

The 95% confidence interval is between 4.63 to 6.01 beats per minute.

What is confidence interval?

The confidence interval is used to predict a population.

The z score of 95% confidence level is 1.96. Given a sample size (n) = 50, standard deviation (ο) = 2.49, hence the margin of error (E) is:

$E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{2.49}{\sqrt{50} } =0.69$

Confidence interval = mean ± E = 5.32 ± 0..69 = (4.63, 6.01)

The 95% confidence interval is between 4.63 to 6.01 beats per minute.

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