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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.
Sketch the distributions involved, and (c) explain your answer to someone who is familiar with the t test for a single sample but not with the t test for independent means.
Find out the probability that disc doesn't touch line between two planks. Find out also expected distance from center of the disc to closest line between two planks.
Of 346 vending machines tested, 12 are found to be defective. Construct the 98 % confidence interval for the proportion of all defective vending machines.
Packets filled consecutively by the machine. Calculate the limits within which the weight of the packets should lie assuming that the machine is not been classified as faulty.
Is the dependent variable discrete or continuous? interval, or ratio) is used to measure the dependent variable?
Determine standardized test statistic z and its corresponding area. If convenient use technology. z=( ) round to two decimals. Area= ( ).
An assembly line turns out 10% deffectives. Determine an acceptance number and sampling plan for samples of size 14 and a producers risk of 3%. (AQL = 10)).
Under what conditions should you use the Chi-Square Test to determine whether there is a difference between proportions of two independent populations?
What kind of statistical test best did you use?
Archaeopteryx is an extinct beast having feathers like a bird but teeth and a long bony tail like a reptile. Five fossil specimens have preserved both the femur and humerus bones. The measurements (in centimeters) for each bone are given below.
A researcher collected sample data for 17 women ages 18 to 24 . The sample had a mean serum cholesterol level (measured in mg/100 mL) of 188.8 , with a standard deviation of 5.5.
He received a score of 70 on a biology test for which the class mean was 70 with standard deviation of 4. On which test did he do better relative to the rest of the class?
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