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Bowl I contains 7 red and 3 white chips and bowl II has 4 red and 6 white chips. Two chips are selected at random and without replacement from I and transferred to II. Three chips are then selected at random without replacement from II:
i. What is the probability that all three are white?ii. Given that three white chips are selected from II, what is the probability that two white chips were transferred from I?
A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from a box one at a time, find the probability that they are alternative after (1) odd, even, odd or (2) even, odd, even.
The Average GPA is known to be 2.67 with standard deviation = 0.58. What GPA will a student need to have to be admitted to the Tech school?
Create a scenario for applying the Goodness of Fit application of Chi-square. State the hypotheses, the level of significance, the result and its meaning.
Describe a study you might design that could use the Chi Square statistic. What are the variables? What are the null and alternative hypotheses? Why would the Chi Square test be appropriate for this design?
With each hypothesis, indicate whether the appropriate analysis would be a one-tailed test or a two-tailed test and indicate a type I and type II error, given the context of the hypothesis.
Suppose you take a random sample of 25 from a lot of 1,000 items but later realize that you should have selected a sample of 40 items instead. How do you correct this error?
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
Construct a 99% confidence interval for the mean time taken by all statistics students to solve the computer assignment.
What is the probability that: The first randomly selected drinker qualifies? Three sports drink users will have to be interviewed to find the first Gatorade drinker?
Given 7 male individuals in a Physical Education course, the number of sit ups each individual can do in a one minute period was recorded:
The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 10 months. What is the probability that a randomly selected terminal will last more than 5 years?
Use a decision tree to describe the possible strategies and the consequences (or payoffs) of each. Show your decision tree.
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