Mathematics College

Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.

Answers

Answer 1

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

Related Questions

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

61

Step-by-step explanation:

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Answers

Answer:

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Answers

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Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent error?

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Answers

Answer:

He spent 150% than what he estimated.

Step-by-step explanation:

15 ÷ 10 = 1.5 = 150%

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

8entre  4

Answer:

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Step-by-step explanation:


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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

13
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Answers

Answer:

(7+5.5)m + 5.5(2)

Step-by-step explanation:

Given:

Equation;

7m + 5.5(2+m)

Find:

Equivalent way

Computation:

7m + 5.5(2+m)

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(7+5.5)m + 5.5(2)

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

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Check yourself ^

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Answers

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Answers

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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*
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Answers

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Step-by-step explanation:

distribute

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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