The distribution of IQ scores of the population is normally distributed with a mean of 100 and a standard deviation of 15 for a particular data value. Since the population is normally distributed all sampling distributions will also be normally distributed. Find the z-scores for each of the following. Make sure to pay attention to the distribution you should use. Write exact answers as decimals. A single person with an IQ of 121: Z-score = 1.40 Mean of a sample of 4 IQ's is 121: Z-score = 2.80

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The distribution of IQ scores of the population is normally distributed with a mean of 100 and a standard deviation of
15 for a particular data value.
Since the population is normally distributed all sampling distributions will also be normally distributed.
Find the z-scores for each of the following. Make sure to pay attention to the distribution you should use. Write exact
answers as decimals.
A single person with an IQ of 121: Z-score =
Mean of a sample of 4 IQ's is 121: Z-score = 2.80
Mean of a sample of 9 IQ's is 121: Z-score =
1.40
Mean of a sample of 25 IQ's is 121: Z-score =
4.20
Mean of a sample of 100 IQ's is 121: Z-score =
Mean of a sample of 625 IQ's is 121: Z-score =
7.00
14.00
35.00
Transcribed Image Text:The distribution of IQ scores of the population is normally distributed with a mean of 100 and a standard deviation of 15 for a particular data value. Since the population is normally distributed all sampling distributions will also be normally distributed. Find the z-scores for each of the following. Make sure to pay attention to the distribution you should use. Write exact answers as decimals. A single person with an IQ of 121: Z-score = Mean of a sample of 4 IQ's is 121: Z-score = 2.80 Mean of a sample of 9 IQ's is 121: Z-score = 1.40 Mean of a sample of 25 IQ's is 121: Z-score = 4.20 Mean of a sample of 100 IQ's is 121: Z-score = Mean of a sample of 625 IQ's is 121: Z-score = 7.00 14.00 35.00
A single person with an IQ of 106: Z-score =
Mean of a sample of 4 IQ's is 106: Z-score =
Mean of a sample of 9 IQ's is 106: Z-score =
Mean of a sample of 25 IQ's is 106: Z-score =
Mean of a sample of 100 IQ's is 106: Z-score =
Mean of a sample of 625 IQ's is 106: Z-score =
Transcribed Image Text:A single person with an IQ of 106: Z-score = Mean of a sample of 4 IQ's is 106: Z-score = Mean of a sample of 9 IQ's is 106: Z-score = Mean of a sample of 25 IQ's is 106: Z-score = Mean of a sample of 100 IQ's is 106: Z-score = Mean of a sample of 625 IQ's is 106: Z-score =
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