PSYCHOLOGY 3400-A hockey team is convinced that the coin used

1. (11 pts) A hockey team is convinced that the coin used to determine the order of play
is weighted. The team captain steals this special coin and flips it 14 times to evaluate
the hypothesis that the coin is weighted, and it shows up heads 12 times. Test this
hypothesis (use alpha=.05).
a. (2 pts) What is the appropriate test?
b. (1 pt) State the null hypothesis:
c. (1 pt) State the alternative hypothesis:
d. (2 pts) Find the critical value:
e. (1 pt) Calculate the obtained statistic:
f. (2 pts) Make a decision:
g. (2 pts) What does your decision mean? 2. (11 pts) A hockey team is convinced that the coin used to determine the order of play
is weighted for heads. The team captain steals this special coin and flips it 14 times to
evaluate the hypothesis that the coin is weighted for heads, and it shows up heads 12
times. Test this hypothesis (use alpha=.05).
a. (2 pts) What is the appropriate test?
b. (1 pt) State the null hypothesis:
c. (1 pt) State the alternative hypothesis:
d. (2 pts) Find the critical value:
e. (1 pt) Calculate the obtained statistic:
f. (2 pts) Make a decision:
g. (2 pts) What does your decision mean? 3. (11 pts) A farmer would like to evaluate Miracle Grow when used on his potted daisy
plants. He sets up 20 plants in a room all facing the same window, obtaining the
same amount of sunlight, and waters them identically each day. For a month, he
monitors how much each plant grows. Then, he adds Miracle Grow to every pot and
monitors how much each plant grows during a month with Miracle Grow. At the end
of two months, he discovers that 16 plants grew more with Miracle Grow. Test the
hypothesis that Miracle Grow increases plant growth (using an alpha level of .01).
a. (2 pts) What is the appropriate test?
b. (1 pt) State the null hypothesis:
c. (1 pt) State the alternative hypothesis:
d. (2 pts) Find the critical value:
e. (1 pt) Calculate the obtained statistic:
f. (2 pts) Make a decision:
g. (2 pts) What does your decision mean?
(8 pts) What is a sampling distribution and why is it important for inferential
statistics? 4.
5. (20 pts) I flip a fair coin 17 times. Answer the following questions: a. What is the probability of getting 9 heads?
b. What is the probability of getting 2 heads?
c.. What is the probability of getting 1 tail?
d. What is the probability of getting 14 or more heads?
e. What is the probability of getting 17 tails? 6. I toss an unfair coin 12 times. This coin is 65% likely to show up heads. Calculate the
probability of the following.
a. 11 heads:
b. 2 or more heads:
c. 7 heads:
d. 9 tails:
e. 8 or less heads:
(6 pts) a. If the average American sleeps 8 hours a night, with a standard deviation of
1 hour, and I plan on gathering a sample of 12 college students to compare to this
population, find the following:
=
=
=
x x = (6 pts) c. If Brooklyn College students have an IQ of 100, on average, with a standard
deviation of 16 points, and I collect 48 BC Psychology students to see how Psych
majors compare to all of BC, find the following:
=
=
=
x x
7. = 1. (11 pts) In the population, New Yorkers have an average of 2 pets in their homes,
with a standard deviation of 1. I am interested in evaluating whether or not
medical doctors differ from the population in regard to number of pets owned.
Below is data from 9 doctors. Test this hypothesis using an alpha level of .01.
# of pets
0
1
0
0 1
3
2
1
1
a.
b.
c.
d.
e.
f.
g. (2 pts) What is the appropriate test?
(1 pt) State the null hypothesis:
(1 pt) State the alternative hypothesis:
(2 pts)Find the critical value:
(2 pts)Calculate the obtained statistic:
(2 pts)Make a decision:
(1 pt) What does your decision mean? -------------------------------------------------(12 pts) A physiologist believes he has discovered a new steroid hormone that can control
8.
the blood glucose in mammals. In an experiment he injects laboratory rats with a small
amount of this steroid hormone and, after a suitable waiting period measures the blood
glucose level of the rats. In his twelve experimental rats he obtains the following levels of
blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of
thousands of normal, un-manipulated rats he knows that the mean () blood glucose level
in this species of rat (his laboratory population) is 31 and that the standard deviation ()
is 4.12. Evaluate the hypothesis that this new steroid hormone decreases blood glucose
levels. Use an -level of 0.05 for this analysis.
a. (2 pts) What is the appropriate test?
b. (1 pt) State the null hypothesis:
c. (1 pt) State the alternative hypothesis:
d. (2 pts) Find the critical value:
e. (3 pts) Calculate the obtained statistic:
f. (2 pts) Make a decision:.
g. (1 pt) What does your decision mean?
9. (12 pts) A physiologist believes he has discovered a new steroid hormone that can affect
the blood glucose in reptiles. In an experiment he injects turtles with a small amount of
this steroid hormone and, after a suitable waiting period measures the blood glucose level
of the turtles. In his sixteen experimental turtles he obtains the following levels of blood
glucose {2, 1, 3, 5, 2, 1, 1, 5, 3, 2, 1, 1, 2, 1, 1, 5}. From previous studies of thousands of
normal, un-manipulated turtles he knows that the mean () blood glucose level in this
species of turtle (his laboratory population) is 3. Evaluate the hypothesis that this new
steroid hormone affects blood glucose levels. Use an -level of 0.01 for this analysis.
a. (2 pts) What is the appropriate test?
b. (1 pt) State the null hypothesis:
c. (1 pt) State the alternative hypothesis: d. (2 pts) Find the critical value:
e. (3pts) Calculate the obtained statistic:
f. (2 pts) Make a decision:
g. (1 pt) What does your decision mean?