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Enzyme-linked immunosorbent assay (EISA)is the most common type of screening test for detecting HIV virus. A positive result from an ELISA indicates that HIV virus is present. For most populations, ELISA has a high degree of sensitivity (to detect infection)and specificity (to detect noninfection). Suppose the probability that person is infected with the HIV virus for certain population is 0.015. If HIV virus is actually present, the probability that ELIA test will give a positive result from ELISA is .01. If ELISA has given a positive result, use the Bayes' theorem to find the probability that the HIV virus is actually present.
One suggested environmental determinant of pediatric lung function is the level of cigarette smoking in the home. A researcher wants to do a pilot study with two groups:
Reliable Furniture is a family business that has been selling to retail customers in the Chicago area for many years. They advertise extensively on radio and TV, emphasizing their low prices and easy credit terms.
Suppose that a random sample of 800 early replacement buyers yields a mean number of dealers visited of 1 = 3.3, and that a random sample of 500 late replacement buyers yields a mean number of dealers visited of 2= 4.5.
Suppose we conduct an ANOVA test of four treatment means and reject the null hypothesis. Construction of a confidence interval for the difference between the first and second sample mean revealed the interval to be 10 plus or minus 12. We conclude
The mean amount purchased by a typical customer at Churchill\'s Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the foll..
Computing the Z scores for the given data and evaluate µ and σ for the population.
The variable recorded for each subject was the number of additional yards (possibly negative) that the subject could drive the ball by the end of the season. In the two-way ANOVA the DFM
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population.
Test the equality of the means of three populations.
Median can be a more suitable measure of central tendency than mean if distribution of data is extremely skewed.
The standard screening test for Down's syndrome is based on a combination of maternal age and the level of serum alpha fetoprotein. Using the test 80% of Down's syndrome cases can be identified while 5% of normals are detected as positives.
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