Binge-watching a television show might not be the best way to enjoy a television series (Horvath, Horton, Lodge, & Hattie, 2017). Participants who binge-watched a television series enjoyed the show less than participants who watched the series in daily sessions. In the study, one group watched the complete television series in a single session and the other group watched the show in daily, one-hour sessions. After watching the series, each group rated their enjoyment of the series on a scale of 0-100. Data like those observed by the authors are listed below. Binge-watched Daily-watched 87 84 71 100 73 87 86 97 78 92 Convert the data from this problem into a form suitable for the point-biserial correlation (use 1 for the binge-watching participants and 0 for participants who watched the show in daily sessions), and then compute the correlation. ΣΧ ΣΥ ΣΧΥ SSx Sy SP Square the value of the point-biserial correlation to obtain r2. r2 = An independent-samples t test for the difference between the means of the two groups produced t = -2.94 with df = 8. Use the equation to compute the value of r2 directly from the t statistic and its df.
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!
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