ring 2019:ResearchDxMicrosoft Word-PSYC320 Examxmazonaws.com/5afo5a7aa8cfe/14945997response-content-disposition=inline%3E12/1250. For a variable that is normally distributed with a mean of 50 and a standard deviation of(If you get this correct, I'll give5, approximately of the scores are betweenyou an extra 2 points)A) 95%; 45 and 55B) 9590; 40 and 60C) 68%; 40 and 60D) 9500:35 and 65E) 99%; 40 and 60

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Asked Mar 13, 2019
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ring 2019:Research
D
x
Microsoft Word-PSYC320 Exam
x
mazonaws.com/5afo5a7aa8cfe/14945997response-content-disposition=inline%3E
12/12
50. For a variable that is normally distributed with a mean of 50 and a standard deviation of
(If you get this correct, I'll give
5, approximately of the scores are between
you an extra 2 points)
A) 95%; 45 and 55
B) 9590; 40 and 60
C) 68%; 40 and 60
D) 9500:35 and 65
E) 99%; 40 and 60
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ring 2019:Research D x Microsoft Word-PSYC320 Exam x mazonaws.com/5afo5a7aa8cfe/14945997response-content-disposition=inline%3E 12/12 50. For a variable that is normally distributed with a mean of 50 and a standard deviation of (If you get this correct, I'll give 5, approximately of the scores are between you an extra 2 points) A) 95%; 45 and 55 B) 9590; 40 and 60 C) 68%; 40 and 60 D) 9500:35 and 65 E) 99%; 40 and 60

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Expert Answer

Step 1

Empirical rule:

For symmetric or normal distributions,

  • 68% of values fall within one standard deviation from the mean. That is, (m – s, m + s).
  • 95% of values fall within two standard deviations from the mean. That is, (m – 2*s, m + 2*s).
  • 7% of values fall within three standard deviations from the mean. That is, (m – 3*s, m + 3*s).
Step 2

Calculations:

The random variable x follows normal distribution with mean 50 and standard deviation 5.

That is, m = 50 and s = 5.

The calculation based on empirical rule is given below:

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Step 3

Obtain the correct option:

From the given 5 options, option (B) states that 95% of the s...

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