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The Australian Open is the first of the four grand Slam professional tennis events held each year. victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title ( Washington Post, January 27, 2012). During the tournament Ms. Azarenka’s serve speed reached 178 kilometers per hour. A list of the 20 Women’s Singles serve speed leaders for the 2012 Australian Open is provided below. a. Compute the mean, variance, and standard deviation for the serve speeds. b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 3.2, Problem 28E
Textbook Problem
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The Australian Open is the first of the four grand Slam professional tennis events held each year. victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title (Washington Post, January 27, 2012). During the tournament Ms. Azarenka’s serve speed reached 178 kilometers per hour. A list of the 20 Women’s Singles serve speed leaders for the 2012 Australian Open is provided below.

Chapter 3.2, Problem 28E, The Australian Open is the first of the four grand Slam professional tennis events held each year.

  1. a. Compute the mean, variance, and standard deviation for the serve speeds.
  2. b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.

a.

To determine

Find the mean, variance, and standard deviation for the serve speed.

Explanation of Solution

Calculation:

The given information is that the table represents the list of the 20 Women’s Single serve speed leaders for the 2012 Australian Open.

Software Procedure:

Step-by-step procedure to obtain the mean, variance, and standard deviation using MINITAB software:

  • Choose Stat > Basic Statistics > Display Descriptive Statistics.
  • In Variables, enter the columns Variable...

b.

To determine

Discuss the difference between the serve speed in the Australian Open and the Wimbledon women’s tournaments.

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