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An educational researcher found that the average entrance core of the incoming freshmen in a university is 84. A random sample of 24 students from a public school was then selected and found out that their average score in the entrance exam is 88 with a standard deviation of 16. Is there any evidence to show that the sample students from public school performed better than the rest in the entrance examination using the 0.01 level of significance?


Find the area of region y =17x2/16, y = 9x2/4 and y = 1 - 4x, satisfying x ≤0.


Find the mean of the set 7 10 14 17 20 of data and construct a sampling distribution by selecting 3 samples at a time



1.What is the significance in studying economics?

A lawyer sets out to prove that a child with type A blood is the son of a man with type B blood and a mother with type AB blood. Determine if it is possible for the man to be the father. Is he definitely the father?



a. Test cross method



b. Genotypic Ratio



c. Phenotypic ratio

Define a set of which both {1, 3, 4} and {0, 3, 5} are subsets. Find such a set with the smallest possible number of elements.



We form the union of a set with 5 elements and a set with 9 elements. Which of the following numbers can we get as the cardinality of the union: 4, 6, 9, 10, 14, 20?



What is the number of subsets of a set with n elements, containing a given element (when element becomes fixed, part of every subset)?



In a magnetic field of 8x10^-4 T oriented south, a 3.21x10^-6 C flows east at a velocity of


4x10^6 m/s. How strong is the magnetic force operating on the charge?

Which of the following pairs of elements and oxidation number is incorrect?

A. Al - 3

B. Sr -2

C. S - 4

D. Tl - 3




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