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Scores on standardized Exam X are normally distributed with mean 500 a
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07 Nov 2021, 16:12
07 Nov 2021, 16:12
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Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100. Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The probability of scoring above 600 on Exam X |
The probability of scoring above 31 on Exam Y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Scores on standardized Exam X are normally distributed with mean 500 a
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08 Nov 2021, 06:58
08 Nov 2021, 06:58
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Carcass wrote:
Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100. Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The probability of scoring above 600 on Exam X |
The probability of scoring above 31 on Exam Y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Given: Scores on standardized Exam X are normally distributed with mean 500 and standard deviation 100.
So, our normal distribution looks like this:
At this point, we can see that 16% of the values are greater than 600
So, Quantity A = 16%
Given: Scores on standardized Exam Y are normally distributed with mean 21 and standard deviation 5.
So, our normal distribution looks like this:
At this point, we can see that 2% of the values are greater than 31
So, Quantity B = 2%
Since Quantity A > Quantity B, the correct answer is A
gmatclubot
Re: Scores on standardized Exam X are normally distributed with mean 500 a [#permalink]
08 Nov 2021, 06:58
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