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1. For any two relations E and F on the same set X , define a relation G := E ? F by xGz iff for some y, xEy and yFz. For each of the fol- lowing properties, if E and F both have the property, prove, or disprove by an example, that G also has the property: (a) reflexive, (b) symmetric, (c) transitive.
2. Refer to Problem 6 and answer the same question in regard to the following properties: (d) antisymmetric, (e) equivalence relation, (f) function.
one classic use of the normal distribution is inspired by a letter to dear abby in which a wife claimed to have given
Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, about how many days can we expect that the teacher on bus duty will likely be certified in CPR?
Then comment on the effectiveness of the presentation: Were the frequency distributions used effectively to report the results? Why or why not?
You are appraising the quality of diamonds for your importer. A diamond without a clear center (opaque center) shall be downgraded and sold at discount.
The formula for a regression equation is Y' = 2X + 9. What would be the predicted score for a person scoring 6 on X? If someone's predicted score was 14, what was this person's score on X
An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms.
Based on the results shown in the following table, test at the 0.05 level of significance whether there is a relationship between parents' reaction to the course and the number of children that they have in the school system
Compute the length-of-life value for which 10% of the watch's batteries last longer.
for an f-ratio with df 2 10 the critical value for a hypothesis test using a .05 would be . explain your
a national study that examined attitudes about antidepressants revealed that approximately 70 of respondents believe
A sample of 50 male and 50 female infants were put on an experimental infant formula. After two weeks the parents of each infant were asked to fill out a questionnaire concerning infant satisfaction on the formula. One of the questions was "Did Ba..
Using a random sample of 100 workers, researchers calculate a 95% confidence interval for the average hourly wage earned by construction workers in the city of Boston. This interval they calculate is from $18 to $26.
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