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Jim Sears manufactures farm equipment. His work requires the use of steel bars which must have a mean length of at least 50 inches. The bars can be purchased from a supplier in Kansas City whose bars average only 47 inches with a standard deviation of 12 inches, or from a supplier in Dallas whose bars average 49 inches with a standard deviation of 3.6 inches.
If Sears is to buy 81 bars from Kansas City, what is the probability they will have a mean of at least 50 inches? (Show calculations)
If Sears is to buy 81 bars from Dallas, what is the probability they will have a mean of at least 50 inches? (Show your calculations)
Determine the coefficient of determination R 2 . Determine standard error of the estimate s e .
What are the theoretical parameters for the sampling distribution based on these 40 trains? Assume you are dealing with an infinite population of trains.
Compute Pearson's correlation coefficient between age and amount spent on this particular product.
For thefts involving more than $1,000, there is an inverse relationship between the value of the goods stolen and the length of the prison sentence given to the thief.
Two tools that are often used in this process are the contingency table and the decision tree. What are these tools and how to they help us to make decisions under uncertainty when we are dealing with probabilities?
Give a brief description of a real-world example in which one measure of central tendency provides useful information while another measure of central tendency provides meaningless (or even misleading) information.
The 'interaction effect' was also important. By using the means in the table above write a statement explaining how the anti-anxiety drug appears to affect anxiety. Are the outcomes consistent with the hypothesis proposed by the researchers?
The following table gives the number of U.S. families, in thousands, with pet dogs, pet cats, and pet birds, by size of family.
A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is:
Computing the probability values using normal distribution - what proportion of licensed drivers are less than 30 years old?
Conduct a statistical test to determine if the sample is representative of the population.
Display the data in scatter plot. Calculate the linear correlation coefficient. Use the scatterplot to make a conclusion about the type of correlation.
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