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The gestation time for humans has a mean of 266 days and a standard deviation of 25 days. If 100 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 268days.
Four research participants take a test of mannual dexterity (high scores mean better dexterity) and anxiety test (high scores mean more anxiety). Scores are as follows:
A continuous random variable, x, is normally distributed with a mean of $1000 and a standard deviation of $100. Convert each of the following x values into its corresponding z-score.
Do the sample data present sufficient evidence to reject the manufacture's claim? Test using a a=0.05. What is the p-value of the test.
Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes were selected at random. What is the probability all three homes selected have a security system?
A large population of overdue bills has balances that follow a normal curve. When we take a sample of 100 of these the average is $500 and the SD is $100.
In a regression model involving 30 observations, the following estimated regression equation was obtained:
To check this theory, 20 invoices are randomly selected and 5 are found to have errors. What is the probability that of the 20 invoices written, five or more would contain errors if the theory is valid?
In the last quarter of 2007 a group of 64 mutual funds had a mean return of 0.9% with a standard deviation of 5.2%. Consider the normal model N(0.009.052) for the returns of these mutual funds.
Based on this sample information, create a 90% confidence interval for population mean yearly premium.
In a study of 24 criminals convicted of antitrust offenses, the average age was 55 years, with a standard deviation of 7.6 years. Construct a 98% confidence interval of the true mean age.
Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 are chemistry majors, and 7 are neither. A student is selected at random from the class.
What results in your departments seem to be correlated or related to other activities? How could you verify this? Create a null and alternate hypothesis for one of these issues. What are the managerial implications of a correlation between these v..
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