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There high schools have senior classes of size 100, 400, and 500, respectively. Here are two schemes for selecting a student from among the three senior classes:
A: Make a list of all 1000 seniors, and choose a student at random from this list
B: Pick on school at random, then pick a student at random from the senior class in that school.
Show that these two schemes are not Probabilistically equivalent. Here is a third scheme.
C: Pick school i with probability pi (p1 + p2 + p3 = 1), then pick a student at random form the senior class in that school.
Find the probabilities p1, p2, and p3 which make scheme C equivalent to scheme a.
a researcher is testing a possible carcinogen on mice. he chooses 8 mice at random from a batch of 13 mice. unknown to
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Given that the student selected is a social science major, what is the probability that she is also a sophomore? Write your responses as fractions.
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Write the null and alternative hypotheses and calculate the test statistic, determine the critical value whether or not there has been an improvement.
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A group of children participated in the program and then enrolled in first grade. They took an IQ test, the national norm of which was 100. Perform a t test on the data.
What is the probability of 60 random chosen person having a score of 107 or lower?
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