Solution Found!
Twenty-four 9th- and 10th-grade high school girls were put
Chapter 7, Problem 10E(choose chapter or problem)
Twenty-four \(9\)th- and \(10\)th-grade high school girls were put on an ultra heavy rope-jumping program. The following data give the time difference for each girl (“before program time” minus “after program time”) for the \(40\)-yard dash:
0.28 0.01 0.13 0.33 –0.03 0.07 –0.18 –0.14
–0.33 0.01 0.22 0.29 –0.08 0.23 0.08 0.04
–0.30 –0.08 0.09 0.70 0.33 –0.34 0.50 0.06
(a) Give a point estimate of \(\mu_{D}\), the mean of the difference in race times.
(b) Find a one-sided \(95 \%\) confidence interval that is a lower bound for \(\mu_{D}\).
(c) Does it look like the rope-jumping program was effective?
Equation Transcription:
Text Transcription:
9
10
95%
mu_D
Questions & Answers
QUESTION:
Twenty-four \(9\)th- and \(10\)th-grade high school girls were put on an ultra heavy rope-jumping program. The following data give the time difference for each girl (“before program time” minus “after program time”) for the \(40\)-yard dash:
0.28 0.01 0.13 0.33 –0.03 0.07 –0.18 –0.14
–0.33 0.01 0.22 0.29 –0.08 0.23 0.08 0.04
–0.30 –0.08 0.09 0.70 0.33 –0.34 0.50 0.06
(a) Give a point estimate of \(\mu_{D}\), the mean of the difference in race times.
(b) Find a one-sided \(95 \%\) confidence interval that is a lower bound for \(\mu_{D}\).
(c) Does it look like the rope-jumping program was effective?
Equation Transcription:
Text Transcription:
9
10
95%
mu_D
ANSWER:
Step 1 of 4
(a)
The point estimate for is calculated as,