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1. In a study of fraternal twins of different genders, researchers measured the heights of each twin. The data show that for each matched pair, the height of the male is greater than the height of his twin sister. What is the value of T?
2. Listed below are the genders of the first 25 subjects listed in Data Set 3 in Appendix B. Use that sequence to identify the values of n1, n2, and G that would be used in the runs test for randomness. M M M M M M M M M M M M M M M M M M F F M F M M M
3. A New York Times article about the calculation of decimal places of noted that "mathematicians are pretty sure that the digits of are indistinguishable from any random sequence." Given below are the first 30 decimal places of π. Test for randomness of odd (O) and even (E) digits. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
air temperature T varies in a periodic manner, with highs during the day and lows during the night. Assume that the weather pattern is the same for one week, and suppose that T(in degrees Farenheit) at a particular time of day is given by the func..
The message is meant to be an array of length n, in which a symbol may be used more than once. Find the density of X and the CDF of X.
A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
The population of a community is known to increase at a rate proportional to the number of people present at time t
a chemist needs 140 ml of a 41% solution but has only 33% and 61% soultions available. Find how many millileters of each should be mixed to get the desired solution.
Metric space has infinitely many distinct connected components - Is it possible (X,d) compact ? if yes ,give an example if no provide proof?
Determine the number X for the given table and evaluate the number x so that the preceding independence relations hold.
Calculate effect size.
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
In each of the attached cases show that the set U is linearly independent subset of the vector space V. Give, with justification, a basis of V which contains the set U.
Linear programming - What are the sensitivity limits for the constraints
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