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A large number of people claim that an alien spacecraft crash-landed in Roswell, New Mexico. Let E be the event that this claim is true and let R be the event that large numbers of people report it to be true.
a. If Pr(R|E) = 1 and Pr(R|~E) = q < 1 find the posterior belief that E is true given R for someone who has a prior belief p
b. Show that the posterior belief is decreasing in q and increasing in p. Explain
c. Show that someone will think that the claim has more than a fifty percent chance of being true if p > q / (1 + q). Explain.
Compute a seasonalized or adjusted sales forecast.
To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time.
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be
Thirty-two samples of 8 items each were collected from a process. The average sample mean is 12 and the average range is 0.10. The upper and lower control limits, respectively, for an:
Mean and standard deviation are 584.6 and 34.28
In order not to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be:
Illustrate by computation that, for straight -line regression of Y on x, β1= 0.
Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
Conduct an analysis of variance
Develop percent frequency distribution and construct bar chart and pie chart.
The heights of young women are approximately normal with mean 65 inches and standard deviation 2.5 inches.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
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