Twenty-four 9th- and 10th-grade high school girls were put

Chapter 7, Problem 10E

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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

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,

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