The student will demonstrate and compare properties of the Central Limit Theorem.
Given:
= length of time (in days) that a cookie recipe lasted at the Olmstead Homestead.
(Assume that each of the different recipes makes the same quantity of cookies.)
Recipe #
Recipe #
Recipe #
Recipe #
1
1
16
2
31
3
46
2
2
5
17
2
32
4
47
2
3
2
18
4
33
5
48
11
4
5
19
6
34
6
49
5
5
6
20
1
35
6
50
5
6
1
21
6
36
1
51
4
7
2
22
5
37
1
52
6
8
6
23
2
38
2
53
5
9
5
24
5
39
1
54
1
10
2
25
1
40
6
55
1
11
5
26
6
41
1
56
2
12
1
27
4
42
6
57
4
13
1
28
1
43
2
58
3
14
3
29
6
44
6
59
6
15
2
30
2
45
2
60
5
Calculate the following:
Collect the data
Use a random number generator to randomly select 4 samples of size
from the given
population. Record your samples below. Then, for each sample, calculate the mean to the nearesttenth. Record them in the spaces provided. Record the sample means for the rest of the class.
Complete the table:
Sample 1
Sample 2
Sample 3
Sample 4
Sample means from other groups:
Means:
Calculate the following:
Again, use a random number generator to randomly select 4 samples from the population. This time, make the samples of size
. Record the samples below. As before, for each sample, calculate the mean to the nearest tenth. Record them in the spaces provided. Record the sample means for the rest of the class.
Sample 1
Sample 2
Sample 3
Sample 4
Sample means from other groups:
Means:
Calculate the following:
For the original population, construct a histogram. Make intervals with bar width = 1 day.
Sketch the graph using a ruler and pencil. Scale the axes.
Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete
sentences to describe the general shape of the curve.
Repeat the procedure for n=5
For the sample of
averaged together, construct a histogram of the averages (your means together with the means of the other groups). Make
intervals with
. Sketch the graph using a ruler and pencil. Scale the axes.
Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete
sentences to describe the general shape of the curve.
Repeat the procedure for n=10
For the sample of
averaged together, construct a histogram of the averages (your means together with the means of the other groups). Make
intervals with
. Sketch the graph using a ruler and pencil. Scale the axes.
Draw a smooth curve through the tops of the bars of the histogram. Use 1 – 2 complete
sentences to describe the general shape of the curve.
Discussion questions
Compare the three histograms you have made, the one for the population and the two for the
sample means. In three to five sentences, describe the similarities and differences.
State the theoretical (according to the CLT) distributions for the sample means.
:
~
:
~
Are the sample means for
and
“close” to the theoretical mean,
?
Explain why or why not.
Which of the two distributions of sample means has the smaller standard deviation? Why?
As n changed, why did the shape of the distribution of the data change? Use 1 – 2 complete
sentences to explain what happened.
This lab was designed and contributed by Carol Olmstead.
Questions & Answers
I'm interested in biological psychology and cognitive psychology
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills