construct a 90% confidence interval of the mean pulse rate for adult females given this data set : 77, 95, 60, 66, 57, 79, 79, 89, 86, 54, 35, 68, 85, 79, 78, 67, 63, 76, 61, 64, 82, 84, 68, 74, 89, 93, 90, 89, 92, 96, 66, 88, 79, 81, 72, 56, 100, 72, 73, 75

The 90% confidence interval for the mean pulse rate of adult females, based on the given data set, is approximately \( (72.29, 79.56) \).

This means we can be 90% confident that the true mean pulse rate for adult females lies between 72.29 and 79.56 beats per minute.

Would you like more details or have any questions?

Here are five related questions you might find interesting:
1. How would the confidence interval change with a different confidence level (e.g., 95%)?
2. How does increasing the sample size affect the width of the confidence interval?
3. What assumptions must be met for this confidence interval to be valid?
4. How is the t-critical value determined for various confidence levels?
5. How would the interval change if the standard deviation were smaller?

**Tip:** A narrower confidence interval can be achieved either by increasing the sample size or decreasing the variability in the data.

Construct a 90% confidence interval of the mean pulse rate for adult females given this data set: 77, 95, 60, 66, 57, 79, 79, 89, 86, 54, 35, 68, 85, 79, 78, 67, 63, 76, 61, 64, 82, 84, 68, 74, 89, 93, 90, 89, 92, 96, 66, 88, 79, 81, 72, 56, 100, 72, 73, 75.

This guide explains how to construct a 90% confidence interval for the mean pulse rate of adult females using a provided data set. Key concepts include calculating the sample mean, standard deviation, and using the confidence interval formula. Learn how to apply statistical methods to real-world data and interpret the interval (72.29, 79.56) beats per minute. Suitable for college-level statistics students.

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