the following figures shows a normal distribution with the proportation of the a

Question

the following figures shows a normal distribution with the proportation of the area under the normal Aplia: Student Question x urses.aplia.com/af/servlet/quiz?quiz action-takeQuiz&quiz;_probGuid-ONAPCOA801010000003b4b04 nisa 6. Properties of the normal curve The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, o remaining area under the curve. Specifically, 0.13% of the area above z-sco distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (p) minus three standard deviations (-30). .13%, depicts the under the standard normal distribution is located re values greater than the mean (H) plus three standard deviations (+30). Also, because the normal 34.13% 34.13% 13.59% 13.59% 2.15% 2.15% 0.13%- 0.13% -3 -2 -1 Use the figure to help you answer the following questions.

Explanation / Answer

Given is

Mean of male students =278

Standard Deviation (SD) = 37

Range of score 167 to 389

Now if we calculate the difference of both score from mean in measures of SD (i.e.37)

37*3 = 111

278 -111 =167 (three SDs less than mean)

278 + 111 = 389 (three SDs above mean score)

Now since we can assume the score are normally distributed and we know from the properties of normal distribution that only 0.13% + 0.13% (total 0.26%) of score would lie beyond 3 SD above and 3SDs below the mean. Therefore the percentage of score between 3 SDs plus and 3 SDs minus the mean score would be

100%-0.26% = 99.74%

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