# Project #31012 - Statistics

The following Terms in the "Statistics Visual Learner" media piece: Hypothesis, Null Hypothesis, Alternative Hypothesis, Significance Test, and Test Statistic.

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 10, # 3, 9, 13

2. Chapter 12, # 3, 5, 8, 16, 20, 21, 25

CHAPTER 10

(3). Explain in your own words why it is important to

know the possible errors we might make when rejecting

or failing to reject the null hypothesis.

(9). A primatologist believes that rhesus monkeys possess

curiosity. She reasons that, if this is true, then they

should prefer novel stimulation to repetitive stimulation.

An experiment is conducted in which 12 rhesus monkeys

are randomly selected from the university colony

and taught to press two bars. Pressing bar 1 always

produces the same sound, whereas bar 2 produces a

novel sound each time it is pressed. After learning to

press the bars, the monkeys are tested for 15 minutes,

during which they have free access to both bars. The

number of presses on each bar during the 15 minutes is

recorded. The resulting data are as follows:

Subject Bar 1 Bar 2

1 20 40

2 18 25

3 24 38

4 14 27

5 5 31

6 26 21

7 15 32

8 29 38

9 15 25

10 9 18

11 25 32

12 31 28

a. What is the alternative hypothesis? In this case,

assume a nondirectional hypothesis is appropriate

because there is insufficient empirical basis to

warrant a directional hypothesis.

b. What is the null hypothesis?

c. Using _ _ 0.052 tail, what is your conclusion?

d. What error might you be making by your conclusion

in part c?

e. To what population does your conclusion apply?

cognitive, biological

(13). A researcher is interested in determining whether

acupuncture affects pain tolerance. An experiment is

performed in which 15 students are randomly chosen

from a large pool of university undergraduate volunteers.

Each subject serves in two conditions. In both

conditions, each subject receives a short-duration

electric shock to the pulp of a tooth. The shock intensity

is set to produce a moderate level of pain to

the unanesthetized subject. After the shock is terminated,

each subject rates the perceived level of pain

on a scale of 0–10, with 10 being the highest level. In

the experimental condition, each subject receives the

appropriate acupuncture treatment prior to receiving

the shock. The control condition is made as similar to

the experimental condition as possible, except a placebo

treatment is given instead of acupuncture. The

two conditions are run on separate days at the same

time of day. The pain ratings in the accompanying

table are obtained.

a. What is the alternative hypothesis? Assume a

nondirectional hypothesis is appropriate.

b. What is the null hypothesis?

c. Using _ _ 0.052 tail, what is your conclusion?

d. What error might you be making by your conclusion

in part c?

e. To what population does your conclusion apply?

Subject Acupuncture Placebo

1 4 6

2 2 5

3 1 5

4 5 3

5 3 6

6 2 4

7 3 7

8 2 6

9 1 8

10 4 3

11 3 7

12 4 8

13 5 3

14 2 5

15 1 4

cognitive, health

CHAPTER 12

(3). How are sampling distributions generated using the

empirical sampling approach?

(5). What are the assumptions underlying the use of the

z test?

(8). How do each of the following differ?

a. s and sX

b. s2 and _2

c. _ and _X

d. _ and _X

(16). How does increasing the N of an experiment affect

the following?

a. Power

b. Beta

c. Alpha

d. Size of real effect

(20). A set of sample scores from an experiment has an

N _ 30 and an Xobt _ 19.

a. Can we reject the null hypothesis that the sample

is a random sample from a normal population

with _ _ 22 and _ _ 8? Use _ _ 0.011 tail. Assume

the sample mean is in the correct direction.

b. What is the power of the experiment to detect a

real effect such that _real _ 20?

c. What is the power to detect a _real _ 20 if N is

increased to 100?

d. What value does N have to equal to achieve a

power of 0.8000 to detect a μreal _ 20? Use the

nearest table value for zobt. other

(21). On the basis of her newly developed technique, a

student believes she can reduce the amount of time

schizophrenics spend in an institution. As director of

training at a nearby institution, you agree to let her

try her method on 20 schizophrenics, randomly sampled

from your institution. The mean duration that

schizophrenics stay at your institution is 85 weeks,

with a standard deviation of 15 weeks. The scores are

normally distributed. The results of the experiment

show that the patients treated by the student stay a

mean duration of 78 weeks, with a standard deviation

of 20 weeks.

a. What is the alternative hypothesis? In this case,

assume a nondirectional hypothesis is appropriate

because there are insufficient theoretical

and empirical bases to warrant a directional

hypothesis.

b. What is the null hypothesis?

c. What do you conclude about the student’s technique?

Use _ _ 0.052 tail. clinical, health

(25). A physical education professor believes that exercise

can slow the aging process. For the past

10 years, he has been conducting an exercise class

for 14 individuals who are currently 50 years old.

Normally, as one ages, maximum oxygen consumption

decreases. The national norm for maximum

oxygen consumption in 50-year-old individuals is

30 milliliters per kilogram per minute, with a standard

deviation of 8.6. The mean of the 14 individuals

is 40 milliliters per kilogram per minute. What

do you conclude? Use _ _ 0.051 tail. biological,

health

 Subject Mathematics Due By (Pacific Time) 05/17/2014 12:00 am
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