Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
See similar textbooks
icon
Related questions
Question
  1. 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 

  1. 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?
  2. Construct a 95% confidence interval for the difference in the mean times between the two swimmers.
  3. What is the point estimate for the difference in the mean times between the two swimmers?
  4. What is the margin of error for the confidence interval found in part (b)?
  5. Interpret the confidence interval for the difference in mean times obtained in part b. 

 

Expert Solution
steps

Step by step

Solved in 6 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS