Question

In: Statistics and Probability

Using the normal distribution as a guide, match the percent of cases you would expect to...

Using the normal distribution as a guide, match the percent of cases you would expect to fall below each of the standard deviation scores below.

0 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

1 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

3 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

-1 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

-2 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

-3 sd

      [ Choose ]            84.13%            99.87%            15.87%            2.28%            50%            0.13%      

Solutions

Expert Solution

Solution :

Here, using the normal distribution as a guide, we have to match the percent of cases you would expect to fall below each of the standard deviation scores below.

So, here, in each of the cases, we have to find the Cumulative Density Function (CDF) of the different deviations from the Mean. Let the Mean and Standard Deviation of the Standard Normal Distribution be   and   respectively.

Thus, the Correct Matches are given below !!

__________________________


orchestra answered 1 year ago
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