HW #11: Normal Distribution
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the 86th percentile for the starting salaries of individuals with an MBA degree?
$45,400
Answer the following regarding the standard normal distribution. Use the normal excel spreadsheet. What is the value of z if the area to the right of z is 0.98?
-2.05
Answer the following regarding the standard normal distribution. Use the normal excel spreadsheet. P( -1.96 < Z < -1.4) =
0.0558
Answer the following regarding the standard normal distribution. Use the normal excel spreadsheet. P(Z > 1.05) =
0.1469
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000 (at least 30000 means 30000 or higher)?
0.9772
Answer the following regarding the standard normal distribution. Use the normal excel spreadsheet. What is the value of z if the area between -z and z is 0.754?
1.16
In 1988, on the math SAT, the males taking the exam averaged about 500, while the females averaged about 455. Both histograms followed the normal curve, and both standard deviations were about 100. Use the normal excel spreadsheet to answer the following:
Estimate the percentage of males in 1988 scoring over 600. 0.1587 Estimate the percentage of females in 1988 scoring over 600. 0.0735 What is the 10th percentile of the scores for the males? 372 What is the first quartile of the scores for the females? 388
