The drop down options are: -Gets stronger -Gets weaker -Stays the same Use the n

Question

The drop down options are:
-Gets stronger
-Gets weaker
-Stays the same

Use the normal distribution of SAT critical reading scores for which the mean is 506 and the standard deviation is 107. Assume the variable x is normally distributed. (a)What percent of the SAT verbal scores are less than 625? (b)If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a)Approximately of the SAT verbal scores are less than 625. (b)You would expect that approximately SAT verbal scores would be greater than 525.

Explanation / Answer

a)

P( z < 625 - 506 / 107 )

P( z < 1.11) = 1 - 0.1335 = 0.8665

aprox. 86.65% are less than 625

b)

P( z > 525 - 506 / 107 )

P( z > 0.18 ) = 0.4286

0.4286 * 1000 = 428.6

you would expect that 429 ...

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