1) The Economic Policy Institute reports that the average entry-level wage for male college graduates is $22.14 per hour and for female college graduates is $19.07 per hour. The standard deviation for male graduates is $3.77 and for female graduates is $2.97. Assume wages are normally distributed.
If 52 male graduates are chosen, find the probability the sample average entry-level wage is at least $21.05.
2) 32% of consumers read the ingredients listed on a product's label.
For a sample of 235 consumers, what is the probability that between 68 and 89 of them read the ingredients listed on a product's label?
3) The number of hours adults sleep per night is normally distributed with a mean of 7.1 hours. Assume that the standard deviation is unknown.
If 68% of adults sleep more than 6.8 hours per night, what is the variance?
4) According to the National Center for Education Statistics, 65% of Texas students are eligible to receive free or reduced-price lunches. Suppose you randomly choose 305 Texas students
Find the probability that no more than 69% of them are eligible to receive free or reduced-price lunches.
5) On the SAT, the average Writing score is 445 points and the average Mathematics score is 505 points. The standard deviation is 70 points on each part of the test. Now suppose 35 test takers are selected.
87% of the time the sample average Writing score should be less than what?