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olya-2409 [2.1K]
3 years ago
10

Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certific

ates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

Marcus score is 13.7, the mean is 12.89, and the standard deviation is 1.95, so I’ll do ( 13.7 – 12.89)/ 1.95, Since Marcus' z-score is 0.415. The area to the left of the z-score is 65.9% so therefore Marcus did scored better than 65.9% of the students. So Marcus needs to score 98% better of all the other students in order for him to receive an actual certificate.

Step-by-step explanation:

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Read 2 more answers
Please help I need answers #5 and #6 more, but if you could do all that would be great thanks it’s urgent!!!
Rudiy27

Answer:

Step-by-step explanation:

Answer for #5

Two Points M(-7,1) and N(5,1).

1. Formula is Distance = \sqrt{(x2-x1)^2 - (y2-y1)^2}

2. Let’s say (x1,y1) = (-7,1) and (x2,y2) =(5,1)

3. Distance = \sqrt{(5-(-7))^2 + (1-1)^2} = \sqrt{(5+7)^2-(0)^2} = \sqrt{(12)^2+0} =\sqrt{144} = 12}

so distance between two warehouses is 12 miles

Answer #6

In the question it is saying the “Distance between two stores is half the distance between warehouses“ so it is   \frac{12}{2} = 6 miles

Answer #7

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Answer #8

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