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The mean time spent on studies of all students at a university last year was 40 hours per week. This year, a random sample of 40 students at the university was drawn and a mean 42.7 hours was found while population standard deviation was 13.85 hours. Test the hypothesis that m, the population mean time spent on studies per week is equal to 40 hours against the alternative that m is larger than 40 hours. Use a significance level of a = 0.05
The probability of selecting each of the roads are the same. It is 1/3. If the prisoner succeeds on her escape, what is the probability that she made good on her escape by using road b.
Prove that if player i believes at the state of the world ω that the state of the world is consistent, then he believes that every player believes that the state of the world is consistent.
The data give x = 94 and s = 4. What is the value of the t statistic?
The mean number of sick days an employee takes per year is believed to be about ten. Members of a personnel department do not believe this figure
Discuss your answers to parts a and b. What are the implications for settlements in real-world court cases? What would happen if the defendants expected value were less than the plaintiffs?
Find the probabilities for the following discrete random variables and find the probability that the salad contains more than 5 vegetables on i) a given day and on ii)3 of the next 4 days?
Below are the exam 1 scores for a small, 9- person section of Math 429 (Introduction to Topology).62 74 93 94 56 78 80 90 82
For the frequency distribution constructed in given Exercise, convert the information to a "less-than" ogive.- Construct a frequency distribution and a histogram for these data.
in 1998 the world health organization reported the findings of a major study on the quality of blood pressure
(a) What is the probability that she will pass all three tests? (b) What is the probability that she will pass at least two of the three tests?
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.
a) Specify the null and alternate hypotheses for testing that the population correlation is negative. b) Calculate the estimate of the population correlation coefficient between X and Y.
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