Unit 5 Assignment: Calculating Confidence Intervals

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Unit 5 Assignment: Calculating Confidence Intervals Alison Schildhauer Dr. Linda Des Jardines Statistics MA320.

Male resting mean = 80.3852 Male after exercise mean = 90.2800 Female resting mean = 81.76.96 Female after exercise mean = 91.2299.

Male resting 95%: 80.3852 +- 1.3453 = (79.04-81.73) Male after exercise 95%: 90.2800 +- 1.4917 = (88.79-91.77) Male resting 99%: 80.3852 +- 1.7797 = (78.61-82.17) Male after exercise 99%: 90.2800 +- 1.9734 = (88.31-92.25) Male after exercise 99%: 90.2800 +- 1.9734 = (88.31-92.25) Male

Female resting 95%: 81.7696 +- 1.2982 = (80.47-83.07) Female after exercise 95%: 91.2299 +- 1.2244 = (90.01-92.45) Female resting 99%: 81.7696 +- 1.7195 = (80.05-83.49) Female after exercise 99%: 91.2299 …show more content…
A confidence interval of 95% means that if the study was recreated, 95% of the time the data would be accurate, with a 5% chance of being wrong. A 99% confidence interval would leave a 1% chance of being wrong (Confidence Intervals - Statistics Teaching Tools - New York State Department of Health, n.d.). If the study were to be repeated with 95% and 99% confidence intervals, the data would fall within the given intervals either 95% of the time or 99%. The data that was calculated above from the 8 data points, tells us what we can expect the mean population percentage to fall in between. The values that were generated are ranges that center around the mean of the data. For the resting heart rate, the 95% confidence interval for males is (79.04 - 81.73) and for females is (80.47 - 83.07). This indicates that there is 95% confidence that the true mean resting heart rate falls within the range of 79.04 to 81.73 beats per minute, and for females, it falls within the range of 80.47 to 83.07 beats per minute. The 99% confidence interval for resting heart rate for males ranges between (78.61-82.17) and (80.05-83.49) for females. The 99% confidence interval is wider than the 95% confidence interval because when there is an increased confidence level, it requires more extreme values to become more confident. Therefore, it leaves us with a wider interval to show
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