Project #29463 - Statistics

 

Complete the following exercises from "Questions and Problems" located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.

 

1. Chapter Five # 10, 12, 14, 22

 

2. Chapter Eight # 9, 10, 13, 14, 18, 25, 26

 

3. Chapter Nine # 2, 5, 8, 12, 16

 

 

 

(10). A population of raw scores is normally distributed

 

with μ _ 60 and  _ 14. Determine the z scores for

 

the following raw scores taken from that population:

 

a. 76

 

b. 48

 

c. 86

 

d. 60

 

e. 74

 

f. 46

 

(12). For the following z scores, determine the percentage

 

of scores that lie between the mean and the z score:

 

a. 1

 

b. –1

 

c. 2.34

 

d. –3.01

 

e. 0

 

f. 0.68

 

g. –0.73

 

(14). Given that a population of scores is normally distributed

 

with μ _ 110 and  _ 8, determine the following:

 

a. The percentile rank of a score of 120

 

b. The percentage of scores that are below a score

 

of 99

 

c. The percentage of scores that are between a score

 

of 101 and 122

 

d. The percentage of scores that are between a score

 

of 114 and 124

 

e. The score in the population above which 5% of the scores lie

 

(22). Anthony is deciding whether to go to graduate school

 

in business or law. He has taken nationally administered

 

aptitude tests for both fields. Anthony’s scores

 

along with the national norms are shown here. Based

 

solely on Anthony’s relative standing on these tests,

 

which field should he enter? Assume that the scores

 

on both tests are normally distributed.

 

National Norms

 

Field _ _

 

Anthony’s

 

Scores

 

Business 68 4.2 80.4

 

Law 85 3.6 89.8

 

Education

 

(9). Which of the following are examples of independent

 

events?

 

a. Obtaining a 3 and a 4 in one roll of two fair dice

 

b. Obtaining an ace and a king in that order by

 

drawing twice without replacement from a deck

 

of cards

 

c. Obtaining an ace and a king in that order by

 

drawing twice with replacement from a deck of

 

cards

 

d. A cloudy sky followed by rain

 

e. A full moon and eating a hamburger

 

(10). Which of the following are examples of mutually

 

exclusive events?

 

a. Obtaining a 4 and a 7 in one draw from a deck of

 

ordinary playing cards

 

b. Obtaining a 3 and a 4 in one roll of two fair dice

 

c. Being male and becoming pregnant

 

d. Obtaining a 1 and an even number in one roll of a

 

fair die

 

e. Getting married and remaining a bachelor

 

(13). If you draw a single card once from a deck of ordinary

 

playing cards, what is the probability that it

 

will be

 

a. The ace of diamonds?

 

b. A 10?

 

c. A queen or a heart?

 

d. A 3 or a black card? other

 

(14). If you roll two fair dice once, what is the probability

 

that you will obtain

 

a. A 2 on die 1 and a 5 on die 2?

 

b. A 2 and a 5 without regard to which die has the 2

 

or 5?

 

c. At least one 2 or one 5?

 

d. A sum of 7? Other

 

(18). You want to call a friend on the telephone. You remember

 

the first three digits of her phone number, but you

 

have forgotten the last four digits. What is the probability

 

that you will get the correct number merely by

 

guessing once? Other

 

(25). Assume the IQ scores of the students at your university

 

are normally distributed, with _ _ 115 and _ _ 8.

 

If you randomly sample one score from this distribution,

 

what is the probability it will be

 

a. Higher than 130?

 

b. Between 110 and 125?

 

c. Lower than 100? cognitive

 

(26). A standardized test measuring mathematics profi -

 

ciency in sixth graders is administered nationally.

 

The results show a normal distribution of scores,

 

with _ _ 50 and _ _ 5.8. If one score is randomly

 

sampled from this population, what is the probability

 

it will be

 

a. Higher than 62?

 

b. Between 40 and 65?

 

c. Lower than 45? Education

 

(2). What are the five conditions necessary for the binomial

 

distribution to be appropriate?

 

(5). Using Table B, if N _ 12 and P _ 0.50,

 

a. What is the probability of getting exactly 10 P

 

events?

 

b. What is the probability of getting 11 or 12 P events?

 

c. What is the probability of getting at least 10 P

 

events?

 

d. What is the probability of getting a result as extreme

 

as or more extreme than 10 P events?

 

(8). An individual flips nine fair coins. If she allows only

 

a head or a tail with each coin,

 

a. What is the probability they all will fall heads?

 

b. What is the probability there will be seven or

 

more heads?

 

(12). A student is taking a true/false exam with 15 questions.

 

If he guesses on each question, what is the

 

probability he will get at least 13 questions correct?

 

education

 

(16). A manufacturer of valves admits that its quality control

 

has gone radically “downhill” such that currently

 

the probability of producing a defective valve is 0.50.

 

If it manufactures 1 million valves in a month and

 

you randomly sample from these valves 10,000 samples,

 

each composed of 15 valves,

 

a. In how many samples would you expect to find

 

exactly 13 good valves?

 

b. In how many samples would you expect to find at

 

least 13 good valves? I/O

 

 

 

Subject Mathematics
Due By (Pacific Time) 05/02/2014 12:00 am
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