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For the samples summarized below, test the hypothesis at =0.05 that the two variancees are equal.
Variance Number of data values
Sample 1 25 9
Sample 2 9 19
(Please answer if you reject or do not reject hypothesis, what the test value is and the critical value)
A sample of 84 golfers showed that their average score on a particular golf course was 89.05 with a standard deviation of 3.47.
A local hardware store claims that the mean waiting time in line is less than 3.5 minutes. A random sample of 20 customers has a mean of 3.7 minutes with a standard deviation of 0.8 minute. If α = 0.05, test the store's claim.
Some IQ tests are standardized to normal model with mean of 100 and the standard deviation of 16. Draw a model for these IQ scores, clearly label it , showing what the 65-95-99.7 rule predicts about the score.
At the 0.05 level of significance, test whether the software package has reduced the average time it takes to complete deliveries.
A month is classified as "extremely wet" if the amount of rainfall is in the upper 10% for that month. How much precipitation must fall before a month of April is classified as "extremely wet".
Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
Securities Exchange Commission (SEC) was $22,500, with a standard deviation of $7,500. The SEC overseers want to draw a sample of 100 accounts to help assess the impact of the fund's freeze on the account holders.
Two researchers are both interested in the relationship between caffeine consumption and activity level for elementary school children. Each obtains a sample of n = 20 children.
As part of its testing program, LongLast tests a sample of 25 batteries. What is the standard error of the mean?
If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women.
If the basket ball player is a 74% free throw shooter, then, on average, how many free throws will he or she make in a game with eight free throw attempts?
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