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You just completed a small research project for your psychology cass concerning

ID: 3172411 • Letter: Y

Question

You just completed a small research project for your psychology cass concerning the effects of an event that happened three years ago on women's opinions and actions today. The mean age of partidpants in your study is 42.5 years with a standard deviation of 6.1 years. As you write up your results, you realize that what matters is the ages of the partidpants three years ago when the event happened, not their ages now. You decide to subtract 3 from each of your partidpants' ages. After you subtract 3 years, the mean years. The new standard deviation of the ages in your sample is years. age in your sample is one of the variables you collected was the study partidpants'heights in inches. The mean height of participants in your study is 64.3 inches with a standard deviation of 3.9 inches. Your professor, however, requested that you report this value in centimeters. To convert from inches to centimeters, you multiply by 2.54. After you multiply the heights centimeters. The new standard deviation of your participants by 2.54, the mean height in your sample is of the heights in your sample is centimeters. Tash Player MAC 24 0,0 221 2004-2016 Apia All rights reserved Save Continue Grade It Now age Learning except as noted At nghts reserved Continue without saving Notices Terms of use Privacy Notice Security Notice Accessiblity

Explanation / Answer

Subtracting any constant from each data value will decrease the mean by same constant. So new mean is

new mean = 42.5 -3 = 39.5

and standrad deviation remain same. Now new standard deviation is

SD = 6.1

-------------------

Multiplying any constant with each data value will multiply the mean by same constant. So new mean is

new mean = 64.3*2.54 = 163.322

and standrad deviation will also multiply by sd. Now new standard deviation is

SD = 3.9*2.54 = 9.906

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