Question

**A.** A population has a mean of 6.9 and standard deviation of 2.6. Find the value that has 80% of the population below it. (in other words, the 80th percentile).

**B.** A population has mean of 53 and a standard deviation of 34. Find the value that has 35% of the population above it.

Step 1

Given Population mean = 6.9

Standard deviation = 2.6

The Z score with the area left to it close to 0.80 (0.7995) is 0.84.

Step 2

We use the below formula fo Z score and calculate the 80th percentile value as shown below

The 80th percentile value wth given mean and standard deviation is 9.084

Step 3

Population have mean = 53

Standard deviatoin = 34

The value with 35% of population above it will have 65% of population below it. With reference to the Z table the Z score will be between 0....

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