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Stats final scores. Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points.
(a) Is the distribution of scores on this final exam symmetric, right skewed, or left skewed?
(b) Would you expect most students to have scored above or below 70 points?
(c) Can we calculate the probability that a randomly chosen student scored above 75 using the normal distribution?
(d) What is the probability that the average score for a random sample of 40 students is above 75?
(e) How would cutting the sample size in half affect the standard deviation of the mean?
Why would you express a number in scientific notation? Why might you not express a number in scientific notation?
First, use the Legendre symbol (and Quadratic Reciprocity, if necessary) to explain why each of the congruence x^2 = 13mod(17) and x^2 = 13mod(29)
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The manager of the NEW CASTLE division that produces add-on products for the automobile industry has just been presented the opportunity to invest.
Find the general solutions of the linear system using the method of elimination.
A random sample of males and females involved in rear-end accidents results in the following Minitab summary:
You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name
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Danielle makes the following conjecture: When you add three consecutive numbers, your answer is always a multiple of 3. Use deductive reasoning to prove that Danielle's conjecture is true for all integers
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