Final answer:
The question involves calculating a 99% confidence interval for the true mean heart rate using a sample mean, sample standard deviation, and t-distribution for a small sample size of 10.
Step-by-step explanation:
The student's question concerns the calculation of a 99% confidence interval for the true mean heart rate, given a sample mean and sample standard deviation from a group of 10 women. To compute the confidence interval, we use the t-distribution because the population standard deviation is unknown and the sample size is small (n=10). The formula for the confidence interval is:
Mean ± (t * (s/√n)),
where Mean is the sample mean, t is the t-score corresponding to the 99% confidence level and 9 degrees of freedom, s is the sample standard deviation, and n is the sample size. Using the t-table, we find the t-score for the 99% confidence level with 9 degrees of freedom.
Next, we substitute the given values of the mean (134 beats per minute), the sample standard deviation (4 beats per minute), and the sample size (10) into the formula to calculate the confidence interval. This will result in a range that, with 99% confidence, we believe includes the true mean heart rate for all women under stress.