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The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
The same exponential distribution with the mean E(Xi)=2, (i=1, 2, ..., n), and Y=X1+X2+...+Xn. Find the moment-generating function of Xi (i=1, 2, ..., n).
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0.
In our discussions of basic probability theory the concepts of mutually exclusive events and independent events share prominent roles. Please explain these concepts and in particular address the question
A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is.
Find out the suitable critical value(s) for this situation given a 0.05 significance level. Find out/compute the value of sample test statistic.
In what ways is the t distribution similar to the standard normal distribution? In what ways is the t distribution different from the standard normal distribution? How does the formula for the t test differ from the formula for the z test?
Get a test statistic and p -value. Interpret results at α = .01.
Find out the conditional probability for the given data. Illustrate what is the conditional chance that the selected person is male?
Taguchi experiment is to be performed on the effects of lift, bore, stroke, and compression on engine performance with horsepower as the outcome variable. Determine the best levels for each factor and state your conclusions.
Expected value, variance and standard deviation.A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows.
What could Bristol Myers have done to improve the validity of the results after they had mailed the 10,000 surveys and received 1,983 back? Assume they kept record of who had responded and who had not.
The mean interview time for a standard questionnaire of 31.3 minutes was considered to be excessive so the schedule was revised, yielding a mean interview time for a sample of 40 subjects of 21.3 minutes
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