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The Empirical Rule One measure of intelligence is the Stanford Binet Intelligence Quotient (IQ). IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15.
(a) What percentage of people has an IQ score between 70 and 130?
(b) What percentage of people has an IQ score less than 70 or greater than 130?
(c) What percentage of people has an IQ score greater than 130?
The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.
Source: College Board, 2010
(a) What percentage of SAT scores is between 401 and 629?
(b) What percentage of SAT scores is less than 401 or greater than 629?
(c) What percentage of SAT scores is greater than 743?
According to a survey reported in the Business Week, 30% of adults in the U.S. said that the cell phone is the invention that they hate most but cannot live without.
Find a 90% confidence interval for the true variance of the hourly wage rate for all seniors who had summer jobs. What assumption is required in order to find the said interval?
Calculate the 90% confidence interval about μ if sample size, n, is 55. How does increasing sample size affect margin of error, E?
from a population of cans of coffee marked 12 ounces a random sample of 50 cans was selected and the contents of each
Find a 99% confidence interval estimate of the proportion of people who say that they voted.
Suppose Abraham Lincoln had answered a survey questionnaire in which he indicated that he had not received a grade school diploma. The researcher found that Lincoln's educational score did not correlate with the expected variables. What was wrong?
For how many of the 100 days was the number of paying customers within three standard deviations of the mean? Explain how you determined your answer.
A battery manufacturing plant normally operates two eight-hour shifts per day and 6 days per week. The manufacturer can produce 375 units per hour.
Bill calculates a linear correlation coefficient between two variable as 1.20. How would you interpret this?
the hights of male adults are normally distributedwith mean 1.7m and standard deviation 0.2m. in a population of 400
What kinds of plots are useful in data screening? What can you do if your data do not meet the assumptions of your statistic?
37 percent of managers have MBA degrees. Using probability formulas. Determine the proportion of employees who are managers and have MBA degrees.
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