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Problem 1
Assume that breast cancer affects .8 percent of the female population between 40 and 50 years of age. There are two kinds of test results: true positive (you have it) and false positive (the test indicates you do have it, but you really do not). Assume Mammograms are 90% accurate at spotting people who have breast cancer (true positive), and are 93% accurate at spotting people who do not (true negative). What are the false negative and false positive accuracies? If a female tests positive for breast cancer, compute the likelihood that she indeed has the cancer.
Problem 2
A pair of dice is rolled. The sum of the faces on top is observed. What are the expectation, variance, and standard deviation of the observed sum? The Expectation and Variance Template attached to the main posting is optional and recommended.
The time required to do the job is normally distributed and has a mean time of 28 minutes with a standard deviation of 5 minutes. How much time should the employer allow employees to finish the job?
What is the probability that a randomly selected group of 50 shoppers will spend a total of more than $5700? The total will be more than $5700 when the sample average exceeds what value?
Hypothesis test for the difference between two means - Assume the population standard deviations are not the same. At the 0.05 significance level, is there a difference in the mean waiting time?
After popping, the un-popped kernels were counted. There were 89. Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
With a population standard deviation of $7810. Use α = 0.01 to test the researcher's theory. Assume wages in this industry are normally distributed, determine the 99% confidence interval of the population mean.
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business l..
Explain the differences between qualitative and judgmental statistical time-series, and explanatory/causal forecasting models.
Compute the 99% confidence interval based on four data points that have a sample mean of 71.5 and a sample standard deviation of 16.6032
How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the United States.
Suppose that the number of babies born during an hour at a hospital's maternity wing follows a Poisson distribution with a mean of 4 per hour.
When the growing season is moderate. The probability of the growing season being too dry is 35%. What is the expectation for profit?
Dr. Walker is an industrial psychologist. She is currently studying stress among executives of Internet companies. She has developed a questionnaire that she believes measures stress.
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