Do students who are members of fraternities or sororities have GPAs different from the student body as a whole? A random sample of 123 "greeks" has been selected from the student body of a large university. The GPA for the student body as a whole is 2.59 and the mean for the sample of "greeks" is 2.47 with a standard deviation of .34. Is the difference statistically significant at the alpha=.05 level? Show the results of your t-test and state whether that means the difference is significance or not.
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!
Do students who are members of fraternities or sororities have GPAs different from the student body as a whole? A random sample of 123 "greeks" has been selected from the student body of a large university. The GPA for the student body as a whole is 2.59 and the mean for the sample of "greeks" is 2.47 with a standard deviation of .34. Is the difference statistically significant at the alpha=.05 level? Show the results of your t-test and state whether that means the difference is significance or not.
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