Report Properties
Thumbnail:

from Flickr
Owner: galaxy0129
Created: Apr 06, 2011
Share: yes
Views: 385
Tags:

Results in this report

Data sets in this report
None

Need help?
To copy selected text, right click to Copy or choose the Copy option under your browser's Edit menu. Text copied in this manner can be pasted directly into most documents with formatting maintained.
To copy selected graphs, right click on the graph to Copy. When pasting into a document, make sure to paste the graph content rather than a link to the graph. For example, to paste in MS Word choose Edit > Paste Special, and select the Device Independent Bitmap option.
You can now also Mail results and reports. The email may contain a simple link to the StatCrunch site or the complete output with data and graphics attached. In addition to being a great way to deliver output to someone else, this is also a great way to save your own hard copy. To try it out, simply click on the Mail link.
Project 3_ Jessica Franz_Stanford Binet IQ Tests!!

Key:

·         Mean: 100

·         Standard Deviation: 15

Use StatCrunch to obtain 1000 random samples of size n = 10 from this population.

List the observations obtained from Sample 1 and Sample 2 below:

Sample 1: 107.25645, 115.27397, 96.32803, 110.6336, 99.57709, 125.31405, 90.55107, 88.27586, 104.44336, 93.393654.

Sample 2: 120.64851, 87.75064, 88.4313, 104.66652, 124.54199, 111.22331, 102.50648, 85.5129, 86.48812, 134.15738.

This sample shows ten of the scores from this particular population.

Include a copy of the StatCrunch spreadsheet below as well:

b)      Compute the sample mean for each of the 1000 samples. Provide the sample mean for Sample 1 and Sample 2 below.

Mean Sample 1: 99.84315

Mean Sample 2: 101.42576

c)      What do you expect the mean and standard deviation of the sampling distribution of the mean to be?

Sampling distribution- Mean=100.191536, Standard Deviation= .7025791

d)     Draw a histogram of the 1000 sample means (Show the histogram below).

Key:

Lower Class Limit of the First Class: 65

Class Width: 5

Describe the shape of the distribution:  Normal (bell-shaped)

e)      Determine the mean and standard deviation of the 1000 sample means.

Are these values close to what was expected [from part c)]?

Yes, they are close to what was expected.

f)      What proportion of the 1000 random samples resulted in a sample mean IQ greater than 105? = 82

g)      Based on the normal model, what proportion of random samples of size n = 10 would we expect to result in a sample mean greater than 105? = .1625

Is the theoretical proportion (that obtained from the model) close to the proportion based on simulation?

Yes, it is pretty close.

Result 1: Mean And Stand Dev NEW   [Info]
Summary statistics:
 Column Mean Std. Dev. Normal1 99.84315 15.110651 Normal2 101.42576 15.179575 Normal3 100.92652 15.12156 Normal4 100.80927 15.146467 Normal5 100.442535 15.227136 Normal6 99.50746 14.706046 Normal7 99.756546 14.316884 Normal8 100.05374 15.043593 Normal9 99.14066 15.084339 Normal10 100.00996 14.695979

Result 2: Histogram NEW   [Info]

Result 3: you   [Info]
Summary statistics:
 Column Mean Std. Dev. ROW MEAN 100.191536 0.7025791

<A href="http://www.statcrunch.com/5.0/viewreport.php?reportid=19258">Project 3_ Jessica Franz_Stanford Binet IQ Tests!!</A>

 Comment by msullivan13803 on Apr 11, 2011 Your results are off. For example, in part (c), the expected mean and standard deviation are 100 and 15/sqrt(10), respectively. The theoretical proportion of observations greater than 105 is 0.146.
 Comment by proviwrestler1 on Apr 07, 2011 We enjoyed viewing your report it had a lot of useful informtaion and you explained everything well. Jeremy Crnich and Kayleigh McGuire