1) A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 30.
Following are the American College Test (ACT) scores attained by the 25 members of a local high school graduating class:
|
21
|
24
|
23
|
17
|
31
|
19
|
19
|
20
|
19
|
25
|
17
|
23
|
16
|
|
21
|
20
|
28
|
25
|
25
|
21
|
14
|
19
|
17
|
18
|
28
|
20
|
|
Find P99, P90, and P80 for the ACT scores. [Hint: Use nk/100 to find the location in the ordered data for each percentile.] All work must be show in order to get your assignment graded
2) How is a "discrete" variable different from a "continuous" variable? Please give one example of each, and describe how these examples differ from one another.
Identify what makes flipping a coin and keeping track of tails a binomial experiment .
3) If the random variable z is the standard normal score and a > 0, is it true that P(z < -a) = P(z > a)? Why or why not?Then find the z-score for the standard normal distribution where:
Area = 0.32 in the left tail