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Refer to the previous two exercises about MBTI and drinking.
a. The sample proportion who reported drinking alcohol frequently was 0.092. When this is the cutpoint for forming a classification table, sensitivity = 0.53 and specificity = 0.66. Explain what these mean.
b. Using (a), show that the sample proportion of correct classifications was 0.6
C. The concordance index c equals 0.658 for the model with the four main effects and the six interaction terms, 0.640 for the model with only the four main effect terms, and 0.568 for the model with only T/F as a predictor. According to this criterion, which model would you choose (i) if you want to maximize sample predictive power (ii) if you think model parsimony is important?
The length of a human pregnancy has a mean of 267 days and a standard deviatin of 16 days. Assume a normal distribution. What percent of pregnancies last over 283 days.
After every score in a sample has been multiplied by 4, the mean is found to be M =48 and the standard deviation is s =12. What were the values for the mean and standard deviation for the original sample?
Complementation to describe each of the following events in terms of A1, A2, and A3, draw a Venn diagram, and shade the region.
Computing the mean and standard deviation for the given data - Find the value for the new standard deviation
Explain how you can determine n3 from knowing n1 and n2. Thus, the multinomial distribution of (n1, n2, n3) is actually two-dimensional.
Seven employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
Determine a 95% confidence interval for proportion of all voters in favour of candidate.
A side effect of a certain anesthetic used in surgery is the hiccups, which occurs in about 10 percent of the cases. If three patients are scheduled for surgery today and are to be administered this anesthetic, compute the probability that:
assume the carrying capacity of the earth is 15 billion. use 1960s peak annual growth rate of 2.1 and population of 3
Explain the chi-square test of homogeneity and show the formula for the test statistics for the test of homogeneity. Describe a sign and test and show the six steps of the test-of-hypothesis procedure.
1. use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the
x1 = 100 and x2 = 127 successes were observed. What is the best point estimator for the difference ( p1-p2) in the two binomial proportions?
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