Answer :
Final answer:
Using the TI series calculators, the 95% confidence interval for a population mean can be calculated using the TInterval function where you input the sample mean, sample standard deviation, and the sample size.
Explanation:
To find the 95% confidence interval for the true population mean using a TI-83, TI-83 plus, or TI-84 calculator, first input the given data (heart rates) into one of the lists in the calculator. After that, calculate the mean (represented by X-bar) and the standard deviation. These are the 'sample mean' and 'sample standard deviation'.
Subsequently, select the 'TInterval' function from the STAT>TESTS menu. Fill in the necessary values for X-bar and Sx which are the sample mean and sample standard deviation respectively. For 'n', enter the sample size (17 in this case). Leave the C-Level (confidence level) as 0.95 since we are trying to find the 95% confidence interval. After all these have been filled, hit the calculate button.
The answer will be displayed on the calculator. It is your 95% confident interval for the true mean heart rate. The interval gives the range in which we expect the 'true' population mean to lie with 95% certainty. For example, if the confidence interval was (90.01, 100.03), we estimate with 95% confidence that the true population mean lies between 90.01 and 100.03 beats per minute. Please note that the exact interval will depend on the specific heart rate data provided.
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