3.4 homework

2) With a height of 65 in, Alexander was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 73.3 in and a standard deviation of 2.2in.

a.What is the positive difference between Alexander's height and the mean?

b.How many standard deviations is that?

c. z score is_______

d.If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Alexander's height usual or unusual?

3)A particular group of men have heights with a mean of 172cm and a standard deviation of 7cm. Charley had a height of 179cm.

a.What is the positive difference between Charley's

height and the mean?

b.How many standard deviations is that?

c.Convert Charley's height to a z score.

d.If we consider "usual" heights to be those that convert to z scores between -2 and 2, is Charley's

height usual or unusual?

4)

IQ scores are measured with a test designed so that the mean is 87and the standard deviation is 13. Consider the group of IQ scores that are unusual. What are the z scores that separate the unusual IQ scores from those that are usual? What are the IQ scores that separate the unusual IQ scores from those that are usual? (Consider a value to be unusual if its z score is less than - 2 or greater than 2.)

What are the z scores that separate the unusual IQ scores from those that are usual?

A)The lower z score boundary is _____

(Simplify your answer.)

B)The higher z score boundary is______

.(Simplify your answer.)

C)What are the IQ scores that separate the unusual IQ scores from those that are usual?

The lower bound IQ score is ________

.(Simplify your answer.)

D)The higher bound IQ score is_______

6)

Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 36

17 17 20 21 25 25 28 28 32 36

36 39 40 40 42 43 43 50 51 56

58 58 59 61 61 62 62 63 66 69

70 70 71 74 77 78

percentile of value of 36

7)

Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 30

16 22 22 23 24 27 27 30 32 35

35 36 39 39 41 41 41 48 48 50

54 56 56 59 59 60 62 63 65 66

67 68 68 74 78 80

.

percentile of value=_______

Round to the nearest integer as needed.

12)

The following are the duration times (minutes) of all missions flown by a space shuttle. Use the given data to construct a boxplot and identify the 5-number summary.

8 7203 8714 8760 9955 10,075 10,192 11,454 11,526 11,877

The 5-number summary is____, _____, _____, ______, ______

Please don't write out answers on a sheet of paper. Thank you