A variable is normally distributed with mean 12 and standard deviation 3. a. Det

Question

A variable is normally distributed with mean 12 and standard deviation 3. a. Determine the quartiles of the variable. b. Obtain and interpret the 80th percentile. C. Find the value that 65% of all possible values of the variable exceed d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret the answer. Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table a. 1 Round to two decimal places as needed.)

Explanation / Answer

a) Q 1 = -0.67449*3+12 = 9.98

b)  Q 2 =0*3+12 = 12

c)  Q 3 = 0.67449*3+12 = 14.02

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