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A random sample of 20 students obtained a mean of x = 72 and a variance of s2 = 16 on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for sigma^2.
Describe the goal of an experimental research study and identify the two elements that are necessary for an experiment to achieve its goal.
a) Find the marginal density of Y. b) Find E(X) HINT: What is E (X|Y=y) ?
Assume a sample of 400 American adults were taken. Show the sampling distribution of the proportion of adults who balance their checkbook at least once a month.
If you are using the method of least squares for fitting trends in an annual time series containing 25 consecutive yearly values.
Create the 90% confidence interval for mean score of all such subjects. You may suppose scores are usually distributed.
The quality control manager for ENTA Inc. must decide whether to accept (a1), further analyze (a2) or reject (a3) a lot of incoming material. Assume the following payoff table is available.
The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Assume independence.
Their lifetime than non-college graduates. If you were to question the validity of this observation, what would be your basis for doing so?
Testing for two Proportions - Is the difference between the averages statistically significant?
Class finds 54% of 450 randomly selected voters are in support. Both groups will create 95% confidence intervals. Which group concludes that the outcome is too close to call? Why?
Number of miles flown in a One- year period by the sample of "frequent flyers" was recorded. Is this a grouped or an ungrouped frequency distribution?
Perform a significant test to assess whether there is an association between mortality from cirrhosis of the liver and duration of employment in the group hired after 1945. Report a p-value.
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