probability and statistics

Exercise 1
(Use Excel or Minitab or SPSS for this exercise)

The following is a sample of nine mortgage companies’ interest rates for 30-year home mortgages, assuming 5% down. 
7.625 7.500 6.625 7.625 6.625 6.875 7.375 5.375 7.500 
(a) Find the mean and standard deviation and interpret. 
(b) Find lower and upper quartiles, median, and interquartile range. Check for any outliers and interpret.
Exercise 2
If the probability that an individual suffers an adverse reaction from a particular drug is known to be 0.001, determine the probability that out of 2000 individuals, 
(a) exactly three and (b) more than two individuals will suffer an adverse reaction.
Exercise 3
In a certain pediatric population, systolic blood pressure is normally distributed with mean 115 mm Hg and standard deviation 10 mm Hg. Find the probability that a randomly selected child from this population will have: 
(a) A systolic pressure greater than 125 mm Hg. 
(b) A systolic pressure less than 95 mm Hg.
Exercise 4
The following is a random sample of height (in inches) and weight (in pounds) of seven basketball players. 
Height 73 83 77 80 85 71 80 
Weight 186 234 208 237 265 190 220 
Calculate the least-squares regression line for these data using Excel, Minitab or SPSS.

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