In a study of environmental lead exposure and IQ, the data was collect
trainart1
Answered question
2021-11-30
A) Calculate the lower fence for the IQ data, which is the lower limit value that the IQ score can be without being considered an outlier.
B) Then, calculate the probability of obtaining an IQ score value of 74 or less.
Answer & Explanation
Steven Arredondo
Beginner2021-12-01Added 18 answers
Denote X as the IQ scores. It is given that X is normally distributed, with mean
Step 2
A) Calculating the lower fence of IQ data:
The lower fence for the data is given by the formula:
[EXCEL formula for
EXCEL formula for
Step 3
It is assumed that a child has an IQ score of 74. Therefore, lower fence of IQ data, which is the lower limit value that the IQ score can be without being considered an outlier is 48.8557.
Step 4
B) Calculating the probability that IQ score value is less than or equal to 74:
The probability that IQ score value is less than or equal to 74 is given below:
[EXCEL formula for
Thus, the probability that IQ score value is less than or equal to 74 is 0.0016.
Step 5
Answer:
A) The lower fence of IQ data, which is the lower limit value that the IQ score can be without being considered an outlier is 48.8557.
B) The probability that IQ score value is less than or equal to 74 is 0.0016.
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