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A national report indicates that the mean and standard deviation of the ACT scores of incoming freshman at American public universities are 24.6 and 6.2, respectively. A sample of 30 incoming freshmen at a small, suburban college provide a sample mean of 22.8 and a sample standard deviation of 7.7. The researcher is interested in finding evidence at the .05 level that the standard deviation in ACT scores is different than the reported value for all public universities. What is the null and alternate hypothesis?
Dogs. A census by the county dog control officer found that 18% of homes kept one dog as a pet, 4% had two dogs, and 1% had three or more.
Compute the Return to Risk Ratio (RRR). On the basis of the results of (A) - (C), which action should the vendor take - sell soft drinks or ice cream? Why?
Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer assumes the following probability distribution of the hous..
Your car dealer is willing to lease you a new car for $199 a month for 72 months. Payments are due on the first day of each month starting
If you toss a fair coin three times and get heads all three times, then the probability of getting a tail on the next toss is much greater than a half.
Let X1, ..., Xn be i.i.d. from N(?, ?) with an unknown ? > 0. Find a pivotal quantity and use it to construct a confidence interval for ?.
Discuss how math is all around you in your everyday life - in business as well as in your personal life.
A sample of automobiles traversing a certain stretch of highway is selected. Each one travels at roughly a constant rate of speed, although speed
Find a formula for P(k) in terms of R(1), . . . R(n). thus the consecutive odds ratios determine a distribution.
Use a real world scenario to explain why it makes sense the variation decreases as the sample size increases.
What is the probability that the next highway fatality experienced by the association will not occur until more than a year from now? Until more than 2 years from now?
Assume we have a population of scores with a mean of 975 and a standard deviation of 15. Assume that the distribution is normal. Provide answers to the following questions:
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