Use the following information for the next two problems. Suppose that the IQ scores for a...
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Use the following information for the next two problems. Suppose that the IQ scores for a large group of people vary according to a normal model with a mean of = 100 and a standard deviation of = 15.
Suppose that a random sample of 16 people is selected from the large group. Let = the mean IQ of the sample. The value of will vary from one sample to another. Find the mean () and the standard deviation () among the different values of .
a. = 100 = 3.75
b. = 100 = 0.9375
c. = 100 = 1.50
d. = 100 = 15
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Suppose that a random sample of 16 people is selected from the large group. What is the chance that the mean IQ of the sample is greaterthan 106 (i.e. what is the chance that > 106)?
a. 0.40
b. 0.6554
c. 0.9452
d. 0.0548
Homework Answers
we have given mean = 100 and
a standard deviation = 15
n = 16
1 ) 
= 100 , 
= 
= 3.75
Find the mean () and the standard deviation () among the different values is given by option A
| a. |
= 100 = 3.75 |
|
2 )
= P(Z>1.6) = 0.0548
option d is true
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