You just completed a small research project for your psychology class concerning the effects of an event that happened three years ago on women’s opinions and actions today. The mean age of participants in your study is 20.1 years with a standard deviation of 2.7 years. As you write up your results, you realize that what matters is the ages of the participants three years ago when the event happened, not their ages now. You decide to subtract 3 from each of your participants’ ages. After you subtract 3 years, the mean age in your sample is blank years. The new standard deviation of the ages in your sample is blank years.

You just completed a small research project for your psychology class concerning the effects of an event that happened three years ago on women’s opinions and actions today. The mean age of participants in your study is 20.1 years with a standard deviation of 2.7 years. As you write up your results, you realize that what matters is the ages of the participants three years ago when the event happened, not their ages now. You decide to subtract 3 from each of your participants’ ages. After you subtract 3 years, the mean age in your sample is blank years. The new standard deviation of the ages in your sample is blank years.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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11. The effect of transformations of scale on the mean and standard deviation

You just completed a small research project for your psychology class concerning the effects of an event that happened three years ago on women’s opinions and actions today.

The mean age of participants in your study is 20.1 years with a standard deviation of 2.7 years. As you write up your results, you realize that what matters is the ages of the participants three years ago when the event happened, not their ages now. You decide to subtract 3 from each of your participants’ ages. After you subtract 3 years, the mean age in your sample is blank years. The new standard deviation of the ages in your sample is blank years.

One of the variables you collected was the study participants’ heights in centimeters. The mean height of participants in your study is 165.4 centimeters with a standard deviation of 8.27 centimeters. Your professor, however, requested that you report this value in inches. To convert from centimeters to inches, you multiply by 0.394. After you multiply the heights of your participants by 0.394, the mean height in your sample is blank inches. The new standard deviation of the heights in your sample is blank inches.

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