Answered: 3. In a larger-scale replication study,…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Plz answer both questions 01) 3. In a larger-scale replication study, 60 subjects were randomly assigned to one of 3 treatment conditions (0 ml., 5 ml., or 10 ml. of melatonin). After treatment, the total sum of squares was found to be 6504.75. In addition, 32% of the variance between the groups' measured depression could be accounted for by the different dosages of melatonin they had been administered. Does this study show significant differences between the groups' mean depression scores (α ≤ .025) 4. Forty eight subjects were randomly assigned to one of 4 treatment conditions in a study of different methods of coping with statistics exam anxiety. After the experiment, 12 subjects remained in group 1, 8 in group 2, 10 in group 3, and 10 in group 4. The mean anxiety score of group 1 was found to be 5.5 points higher than the mean of group 2, 3.5 points higher than the mean of group 3, 5.3 points higher than the mean of group 4, and 3.3 points higher than the grand mean. Interestingly, the sum of squares error was exactly 12.0 times larger than its degrees of freedom. Did the different treatments result in significantly different amounts of anxiety? (α ≤ .01) Answers: 3) F = 13.41, Reject H0: there are significant differences between the groups' mean levels of depression 4. F = 5.83, Reject H0: the different treatments result in significantly different levels of anxiety

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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