Question

A random sample of 10 U.S adult males who jog at least 15 miles per week had the following pulse rates per minutes. Find a 95% confidence interval for the mean pulse rate of all U.S. adult males who jog at least 15 miles per week. Assume normal distribution for pulse rates.

54.8 50.5 50.8 53.4 53.5, 53, 54.5, 52, 53.5, 55

Answer 1

To find a 95% confidence interval for the mean pulse rate of U.S. adult males who jog at least 15 miles per week, calculate the sample mean and standard deviation, find the critical value, and calculate the margin of error.

Step-by-step explanation:

To find a 95% confidence interval for the mean pulse rate of all U.S. adult males who jog at least 15 miles per week, we can use the t-distribution since the population standard deviation is unknown. Here are the steps:

1. Calculate the sample mean (μ) and sample standard deviation (s) for the given pulse rates.
2. Find the critical value (t*) for a 95% confidence level with the degrees of freedom (df) equal to the sample size minus one (n-1).
3. Calculate the margin of error (E) using the formula E = t* * (s / sqrt(n)).
4. The confidence interval is given by (μ - E, μ + E).

By applying these steps to the given sample, we can find the 95% confidence interval for the mean pulse rate of all U.S. adult males who jog at least 15 miles per week.