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Owner: galaxy0129
Created: Apr 06, 2011
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Results in this report
1. Mean And Stand Dev NEW
2. Histogram NEW
3. you
 
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Project 3_ Jessica Franz_Stanford Binet IQ Tests!!
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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]
Right click to copy

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

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

Comments
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
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