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Automobile insurance is much more expensive for teenage drivers than for older drivers. To justify this cost difference, insurance companies claim that the younger drivers are much more likely to be involved in costly accidents. To test this claim, a researcher obtains information about registered drivers from the department of motor vehicles and selects a sample of n=300 accident reports from the police department. The motor vehicle department reports the percentage of registered drivers in each age category as follows: 16% are under the age 20; 28% are 20 to 29 years old; and 56% are 30 or older. The number of accident reports for each age group is as follows:
Under Age Age 30
Age 20 20-29 or older
68 92 140
Find the asymptotic distribution of the MLE of the indicated parameter and find formulas for approximate standard errors of the MLE.
A survey covering 0 different suburbs in Dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation of $0.053. What critical value shoiuld be used to test the claim using a = 0.01?
If the standard deviation is $11,200, what can you say about the percentage of these workers who earn how likely is it that someone earns more than $100,000?
When we say we have confidence level of 95% what do you believe our "margin of error" is?
When the necessary conditions are met, a two-tail test is being conducted to test the difference between two populations proportions.
A group of children can be classified according to eye color (blue, brown, green), gender (male, female), and hobby (collecting stamps, collecting baseball cards, collecting shells, collecting stickers).
At a certain university, the average cost of books per student was $330 per student last semsester. In a sample of 50 students this semester, their average cost was $355 with a standard deviation of $85.
The standard deviation of 6. What is the probability that a class of 50 has an average midterm mark that is less than 75?
A recent article in the Wall Street Journal reported that the 30-year mortgage rate is now less than 6 percent. A sample of eight small banks in the Midwest revealed the following 30- year rates (in percent):
Explain what a Chi-Squared Test is used for and give an example how you could possibly use this test. What is an ANOVA test? Create an example where this test could be used.
If F(x, y) is the value of the joint distribution function of the two continuous random variables X and Y a (x, y),
The results shown below are mean productivity measurements (average number of assemblies completed per hour) for a random sample of workers at each of three plants.
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