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Suppose the scores of a certain high school diploma test follow a normal distribution in the...

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Basic Math

Suppose the scores of a certain high school diploma testfollow a normal distribution in the population with a mean of 195and standard deviation of 30.

1. About ______ percent of the students have ascore between 135 and 195.

2. About ______ percent of the students have a score between 225and 255.

3. The middle 95% of the students have a score between________  and ________   .

4. Recently class A just had a Math exam, but class B had aVerbal exam.

- Joe in class A has a math score of 160, and all the mathscores in class A have a mean of 140 and a standard deviation of10.

- Eric in class B has a verbal score of 80, and all the verbalscores in class B have a mean of 50 and a standard deviation of12.

Let’s assume students in classes A and B have very similaracademic background, and both classes are hugh classes with lots ofstudents. Then roughly speaking, relative to their respectiveclassmates, who did better in the recent exam, Joe or Eric?

(A) Joe’s math score 160 is better
(B) Eric’s verbal score 80 is better
(C) They are about the same
(D) We also need the variance of the two data sets to compareJoe’s and Eric’s scores

5. A sample consists of 26 scores. What is the degrees offreedom for the sample standard deviation??

Answer & Explanation Solved by verified expert
4.1 Ratings (488 Votes)
1 Mean is 195 and standard deviation is 30Using empirical formula we know that 475 area lies to the 2standard deviation of the meanwe have to find the of students who have score between 135 and195So    See Answer
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