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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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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!
Question
Transcribed Image Text:group rated their enjoyment of the series on a scale
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.
r2 =
Within rounding error, this value of r2 should be equal to the value obtained from the point-biserial correlation.
Transcribed Image Text:Binge-watching a television show might not be the best way to enjoy a television serles (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.
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