Two swimmers are recognized as among the best in a certain event. In a series of independent practice trials, they achieve the following times in seconds. Assume that the times are normally distributed. Swimmer A: 30.7 31.2 31.3 30.9 30.2 31.4 30.7 31.1 Swimmer B: 31.1 31.2 31.4 31.6 31.4 31.3 31.5 30.9 On the basis of these trials, can you detect a significant difference between the mean performance times of these two swimmers at the 1% significance level? Construct a 95% confidence interval for the difference in the mean times between the two swimmers. What is the point estimate for the difference in the mean times between the two swimmers? What is the margin of error for the confidence interval found in part (b)? Interpret the confidence interval for the difference in mean times obtained in part b.
Two swimmers are recognized as among the best in a certain event. In a series of independent practice trials, they achieve the following times in seconds. Assume that the times are normally distributed. Swimmer A: 30.7 31.2 31.3 30.9 30.2 31.4 30.7 31.1 Swimmer B: 31.1 31.2 31.4 31.6 31.4 31.3 31.5 30.9 On the basis of these trials, can you detect a significant difference between the mean performance times of these two swimmers at the 1% significance level? Construct a 95% confidence interval for the difference in the mean times between the two swimmers. What is the point estimate for the difference in the mean times between the two swimmers? What is the margin of error for the confidence interval found in part (b)? Interpret the confidence interval for the difference in mean times obtained in part b.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- Two swimmers are recognized as among the best in a certain
event . In a series of independent practice trials, they achieve the following times in seconds. Assume that the times arenormally distributed.
Swimmer A: 30.7 31.2 31.3 30.9 30.2 31.4 30.7 31.1
Swimmer B: 31.1 31.2 31.4 31.6 31.4 31.3 31.5 30.9
- On the basis of these trials, can you detect a significant difference between the
mean performance times of these two swimmers at the 1% significance level? - Construct a 95% confidence interval for the difference in the mean times between the two swimmers.
- What is the point estimate for the difference in the mean times between the two swimmers?
- What is the margin of error for the confidence interval found in part (b)?
- Interpret the confidence interval for the difference in mean times obtained in part b.
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