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

Question

11. The effect of transformations of scale on the mean and standard deviation You just completed a small research project for your psychology class conceming the effects of an event that happened five years ago on women's opinions and actions today. The mean age of participants in your study is 19.2 years with a standard deviation of 2.1 years. As you write up your results, you realize that what matters is the ages of the participants five years ago when the event happened, not their ages now. You decide to subtract 5 from each of your participants' ages. After you subtract 5 years, the mean age in your sample is years. The new standard deviation of the ages in your sample is 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 8.3 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 inches. The new standard deviation of the heights in your sample is inches. Save & Continue Grade it Now coatinue ithout savi

Explanation / Answer

1)as after subtracting mean and all value comes down 5 year therefore there will be no change in std deviation

hence after you subtract 5 years, the mean age in your sample is 14.2 yearss. the new std deviation of the ages in your sample is 2.1 Years

2)

the mean height in your sample =165.4*0.394 =65.1676 inches. the new standard deviaiton of the height in your sample is 8.3*0.394=3.2702

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