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A new non-invasive screening test is suggested that is claimed to be able to recognize patients with impaired glucose tolerance based on the battery of questions related to health behaviors. New test is given to 75 patients. Based on each patient's responses to questions they are categorised as positive or negative for impaired glucose tolerance. Each patient also submits the blood sample and their glucose tolerance status is determined. Results are tabulated below.
Screening Test Impaired Glucose Tolerance Not ImpairedPositive 17 13Negative 8 37
a) Determine the sensitivity of screening test?
b) Determine the false positive fraction of the screening test?
The mean television viewing time for Americans is 15 hours per week (Money, November 2003). Assume a sample of 60 Americans is taken to further investigate viewing habits. Suppose the population standard deviation for weekly viewing time is Q = 4..
At the end of the Halloween Festival the organizers estimated that a family of participants spent in average $50.00 with a standard deviation of $15.00. If 49 participants (49 = size of the sample) are selected randomly, what's the likeihood that ..
Compute test statistic and p -value for each sample. (Negative amount must be pointed out by minus sign.)
Use the method of least squares to model the relationship between x and y.
a) Under what circumstances can z be greater than one? b) Under what circumstances can a probability be greater than one?
Calculate and interpret standard error of estimate se and coefficient of determination R2 for these data.
Estimating the individual score using normal distribution and find the minimum SAT score needed to be accepted?
Graph the information using a histogram and a scatter plot in Excel as well. How does seeing the information in a graphical format provide more information?
Assume that stock is currently selling for $100. The change in the stock's price throughout the nest year follows a normal random variable with a mean of $10 and a standard deviation of $20.
Assume that the measurements came from a normal distribution. The variability of the manufacturing process is unknown means the same as the standard deviation is unknown.
The researchers gave each subject a battery of nine separate neurological and psychological examinations designed to assess their mental capabilities.
Using the simple test of independence (described in the lecture), decide if the events high calorie and high fiber are independent or dependent. Show your work.
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