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1) Suppose you roll two dice. Let A represent the event that the first die is a four, let B represent the event that the total showing on the two dice is six, and let C represent the event that this total is seven. Two of these events are independent. Which two? Explain.
2) X is a normally distributed random variable with mean 10 and variance 24.
a. Find P(X bigger 14)
b. find P(8 smaller X smaller 20)
c. Find the probability that X takes on a value that is at least 6 away from its mean.
d. Suppose that X* is defined such that P(X bigger X*) = .10. What is X*?
Such things as historical documents, newspaper reports, TV and radio broadcasts, when used in research, represents
Find the lowest possible score a candidate can score and still qualify. Assume the scores are normally distributed.
The probability of drawing two diamonds (to complete a flush) after discarding the 5 and 7.
Determine what analysis would you do on each problem (i.e., one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
A sample of 100 observations has a mean of 2.99 and a standard deviation s equal to 0.5 Conduct the following test of hypotheses about the corresponding population mean at a level of significance of α = 0.2
Z score on comparison distribution for sample score and your conclusion. Suppose that all population are normally distributed.
Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution.
In an experiment in which a die was rolled 188 times it was counted up how many times each face came up. The results are as follows:
For the following scores, find the: A. Mean. B Median. C. Sum of squared deviation. D. Variance. E. Standard deviation.
Suppose that population has normal distribution. Determine a 95 percent confidence interval for population standard deviation sigma.
Utilizing the .05 level, do the results support the psychologists' theory. Elucidate your answer to somebody whom has never had a course in statistics.
It does not matter, when data are skewed mean and median are the same.
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