We wish to demonstrate that the average time to graduate from college is affected by the students having taken AP calculus in high school. Specifically we wish to demonstrate that students who have taken AP calculus in high school gradate an average of at most 0.25 years sooner than students who have not taken AP calculus in high school. If we let μ1 demote the average time to graduate for students who have not taken AP calculus and μ2 denote the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis: a. μ1-μ2 = 0 b. μ1-μ2-0.25 < 0 c. μ1-μ2-0.25>0 Please explain
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
We wish to demonstrate that the average time to graduate from college is affected by the students having taken AP calculus in high school. Specifically we wish to demonstrate that students who have taken AP calculus in high school gradate an average of at most 0.25 years sooner than students who have not taken AP calculus in high school. If we let μ1 demote the average time to graduate for students who have not taken AP calculus and μ2 denote the average time to graduate for students who have taken AP calculus, then select the appropriate alternative hypothesis:
a. μ1-μ2 = 0
b. μ1-μ2-0.25 < 0
c. μ1-μ2-0.25>0
Please explain
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