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There are three coins in the barrel. These coins, when flipped, will come up heads with respective probabilities 0.3, 0.5, 0.7. A coin is arbitarily selected from among these three and is then flipped ten times. Let N be number of heads obtained on the ten flips. Determine:
(a) P[N = 0).
(b) P{N=n},n = 0,l,...,W.
(c) Does N have the binomial distribution?
(d) If you win $1 each time a head appears and you lose $1 each time a tail appears, is this fair game? Describe.
Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).
On which test did he do better compared to the rest of the class?
An investigator wants to design a study to estimate the difference in the proportions of men and women who develop early onset cardiovascular disease
Which of the following(s) can be considered (a) variable(s)?
Discuss how the null and alternative hypothesis for one-sample testing differs from two-sample testing; and explain how these two hypothesis' are the same, and provide a numerical example?
Conduct post hoc comparisons with the LSD method. Which groups differ significantly at α = 0.05?
A statistics practitioner conducted a two-factor analysis of variance experiment with a =4, b = 3, and r = 8. The sum of squares are listed here:
Assume that the process is in control and that the population of all jar fills is normally distributed.
Illustrate by computation that, for straight -line regression of Y on x, β1= 0.
The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation 0.02 cm.
What is the appropriate inferential statistical test for the case scenario? Why?
Describe a business situation that you have had or might face that will benefit from the use of confidence intervals?
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