AN ENTIRE POPULATION OF ENGLISH

Speaking aduilts living on a remote island named Statistica underwent IQ testing and the recorded IQ scores are presented Assignment 2.xls
a)
Examine the data and determine if the distribution of IQ scores could be normal.You should confirm or reject normality by means of a visual inspection of the shape of the distribution.
Assume now that the distribution of IQ scores in
Statistica is indeed normal with parameters equal to the mean and standard deviation of the given populatoin data
b)What proportion of
the population falls into the “gifted” category where gifted is defined as an IQ score in the range 130 to 144?
c)What
proportion of the population falls into the “genius” categpry whee genius is defined as an IQ score above 144?
d)An
alternative defination of “genius” is someone with an IQ SCORE ABOVE THE 99.9TH PERCENTILE SCORE.uNDER THIS DEFINATION,WHAT I MINIMUM IQ score to be classified as a genuis?

Suppose that a random sample of 150 Statistica a residents is selected.
e)What is
the probability that the average IQ of this sample is below 95?
Use Exel or other sftware to obtain an exact probability value.
f)What is probability that the average IQ of this sample is above 144
Use Exel or other software to obtain an exact probability value

g)

Explain briefly why the probabilities calculated in parts (c) and (f) differ?
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