ath section of the ACT Normal Model is apprc n of ACT test takers we

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QUESTION 4
Suppose the Math section of the ACT test has a mean of 20.9 and a standard deviation of
5.3. Assume a Normal Model is appropriate.
What proportion of ACT test takers would you expect to score over 31 on the Math section?
O a. 0.0281
O b. 0.1910
O c. 0.9719
O d. 0.3100
QUESTION 5
7
The following scatterplot shows the relationship between Total Mortgages in the United
States (in millions of dollars) versus Interest Rates Paid at various times over the nast 26
Transcribed Image Text:¥ Question Completion Status: O d. 16.32 mpg QUESTION 4 Suppose the Math section of the ACT test has a mean of 20.9 and a standard deviation of 5.3. Assume a Normal Model is appropriate. What proportion of ACT test takers would you expect to score over 31 on the Math section? O a. 0.0281 O b. 0.1910 O c. 0.9719 O d. 0.3100 QUESTION 5 7 The following scatterplot shows the relationship between Total Mortgages in the United States (in millions of dollars) versus Interest Rates Paid at various times over the nast 26
Expert Solution
Step 1

Let x denote the Act test takers score

Given that the math section of the Act test has a mean of 20.9 and a standard deviation of 5.3

That is,Statistics homework question answer, step 1, image 1

Assume that the distribution is normal.

The objective is to compute the proportion of Act  test takers score over 31 on the math section.

That is, P(X>31).

( since the test takers scores is given over 31).

 

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