Information Suppose that the national depression average is 50 with a standard d
ID: 3271411 • Letter: I
Question
Information
Suppose that the national depression average is 50 with a standard deviation of 16. We test a random sample of 6 psychology majors and obtain the following data:
Student #1: 55
Student #2: 60
Student #3: 50
Student #4: 45
Student #5: 52
Student #6: 62
Based on the description of the experiment above, identify
=
Based on the description of the experiment above, identify
x =
Based on the description of the experiment above, identify
X¯¯¯
State your ALTERNATIVE research hypothesis.
This is a TWO-tailed test.
There are two possible approaches to writing the hypothesis. You can write it from scratch, just as you have on the worksheets you have practiced completing. Alternatively, you may follow the directions below. The word list can help you narrow down what wording belongs in the hypothesis, but there are many more words in the list than you will need to use.
From the following list of words, create your alternative research hypothesis. Do not use any words that are not in this list. Use as few words as possible to convey the necessary information. You will NOT use all the words provided. You may use words more than once.
and
as
average
depression
differs
do
does
equal
fewer
from
greater
is
KSU
less
more
national
majors
not
of
or
psychology
rating
same
than
the
to
State your NULL research hypothesis.
This is a TWO-tailed test.
There are two possible approaches to writing the hypothesis. You can write it from scratch, just as you have on the worksheets you have practiced completing. Alternatively, you may follow the directions below. The word list can help you narrow down what wording belongs in the hypothesis, but there are many more words in the list than you will need to use.
From the following list of words, create your null research hypothesis. Do not use any words that are not in this list. Use as few words as possible to convey the necessary information. You will NOT use all the words provided. You may use words more than once.
and
as
average
depression
differ
differs
do
does
equal
equals
fewer
from
greater
is
KSU
less
more
national
majors
not
of
or
psychology
rating
same
than
the
to
Information
The following 4 questions pertain to the ALTERNATIVE statistical hypothesis.
The first symbol in the alternative statistical hypothesis (HA) for this experiment is
Question 6 options:
1)
x
2)
3)
N
4)
µ
5)
X¯¯¯
6)
The next part of the alternative statistical hypothesis (HA) is which word as a subscript?
Question 7 options:
A)
KSU
B)
rating
C)
national average
D)
depression
The next symbol in the alternative statistical hypothesis is:
[Note that, if you have forgotten, you were told earlier that this will be a two-tailed test.]
Question 8 options:
1)
=
2)
3)
4)
<
5)
<
6)
>
The last symbol in the alternative statistical hypothesis (HA) for this experiment is
Question 9 options:
1)
54
2)
16
3)
6
4)
50
Which of the components of the alternative statistical hypothesis needs to be different in the NULL statistical hypothesis?
Question 10 options:
1)
The first symbol
2)
The subscript
3)
The comparator (less than, greater than, equal, etc.)
4)
The number at the end
5)
Both (2) and (4)
6)
Both (3) and (4)
Information
Set the significance level: = .05
Compute the appropriate statistical test (Part 1).
For any computations you perform, you must round appropriately. Think about what the result will be used for. Is it a number that is going to feed into a further computation? Is it a number that would be reported directly in a research report? These determine whether you should round to the number of decimals to which you would report the result (2 decimal places) or whether you should retain additional digits in order to avoid loss of precision as you computer further calculations (3 decimal places).
Perform your calculations on paper. Keep the paper in case you need me to help you locate your errors if you make any.
Find X¯¯¯
Compute the appropriate statistical test (part 2).
For any computations you perform, you must round appropriately. Think about what the result will be used for. Is it a number that is going to feed into a further computation? Is it a number that would be reported directly in a research report? These determine whether you should round to the number of decimals to which you would report the result or whether you should retain additional digits in order to avoid loss of precision as you computer further calculations.
Perform your calculations on paper. Keep the paper so that I may help you locate your errors if necessary.
Find z-obtained.
Answer: ____________
Find z-critical. If there is more than one z-critical for this problem, please list the positive one first, then the negative one. If there is only one z-critical for this problem, please leave the second input box blank.
Answer: _____________
It is not necessary to include a positive sign because all numbers are assumed to be positive by default unless a negative sign precedes them.
Information
Make a decision.
In the next 3 questions, you will determine whether the value of the test statistic is in the critical region.
Your responses to these 3 questions will correspond with the graph shown in the next item.
I encourage you to draw your own version of the graph provided (on your scrap paper) in order to add details that help you clarify the answer (e.g., using different colors, labeling the relevant regions).
Information
Letter D is located at the midline of the normal distribution. Letter C is located slightly to the left of the midline, Letter B is located farther to the left, and Letter A is located well into the left tail of the distribution.
Letter E is located slightly to the right of the midline, Letter F is located farther to the right, and Letter G is located well into the right tail of the distribution.
On the graph above, the best location for z-obtained would be
Question 14 options:
1)
A
2)
B
3)
C
4)
D
5)
E
6)
F
7)
G
On the graph above, the best location for z-crit would be
Question 15 options:
1)
A
2)
B
3)
C
4)
E
5)
F
6)
G
7)
Both A and G
8)
Both C and E
Is the test statistic in the critical region?
Question 16 options:
Yes
No
Your statistical conclusion should be to
Question 17 options:
1)
retain H0.
2)
reject H0.
State your SUBSTANTIVE conclusion (in words).
There are two possible approaches to writing the conclusion. You can write it from scratch, just as you have on the worksheets you have practiced completing. Alternatively, you may follow the directions below. The word list can help you narrow down what wording belongs in the hypothesis, but there are many more words in the list than you will need to use.
From the following list of words, create your substantive conclusion. Do not use any words that are not in this list. Use as few words as possible to convey the necessary information. You will NOT use all the words provided. You may use words more than once.
and
as
average
depression
differ
different
did
equal
equals
fewer
from
greater
is
KSU
less
more
national
majors
not
of
or
psychology
rating
same
than
the
to
was
Based on the decision you made about the null hypothesis above (assuming that decision was correct), what type of error is it possible that you could you have made?
Question 19 options:
Type I
B CDE F GExplanation / Answer
Based on the description of the experiment above, identify
= 50
Based on the description of the experiment above, identify
x = 16
Based on the description of the experiment above, identify
X¯¯¯ = (55+60+50+45+52+62)/6 = 54