Computing Probability Under Normal Distribution and Conducting
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Solution Summary
The solution gives detailed steps on 3 questions focused on computing probability under normal distribution and conducting hypothesis testing under t distribution.
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Problem 1
(a) We need to calculate the mean and standard deviation of the 15 data.
Mean=(11+3+...-5+2)/18=1.89
Variance=[(11-1.89)2+(3-1.89)2+...+(-5-1.89)2+(2-1.89)2]/(18-1)=16.46
Standard deviation=sqrt(16.46)=4.06.
Hence, if a number is usual, it must be within 2 standard deviations about mean.
It is within the interval (1.89-2*4.06, 1.89+2*4.06)=(-6.23, 10.01).
Since 15 is not ...
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