Suppose that p(x) is the density function for heights of American men, in inches, and suppose that p(69)=0.2. Think carefully about what the meaning of this mathematical statement is. (a) Approximately what percent of American men are between 68.8 and 69.2 inches tall? Approximately .2 percent. (b) Suppose that the average height of American men is 69 inches. Would you expect p(78)>p(69) or p(78)

(a)  p(68.8 to 69.2) = 8%

(b)  p(78)  < p(69)

Step-by-step explanation:

p(x) is the density function for heights of American men.

Suppose that p(69)=0.2

Think carefully about what the meaning of this mathematical statement is!

The meaning of this mathematical statement is that 20% of American men are 69 inches tall or shorter than that.

(a) Approximately what percent of American men are between 68.8 and 69.2 inches tall?

p(68.8 to 69.2) = p(69)*(69.2 - 68.8)

p(68.8 to 69.2) = 0.2*(0.4)

p(68.8 to 69.2) = 0.08 = 8%

Therefore, 8% of American men are between 68.8 and 69.2 inches tall.

(b) Suppose that the average height of American men is 69 inches.

Would you expect p(78) > p(69) or p(78)  < p(69) ?

The probability of American men having a height of 69 inches will be greater than American men having a height of 78 inches.

p(78)  < p(69)

right

step-by-step explanation:

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.