Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

9th Edition

ISBN: 9781337098120

Author: Frederick J Gravetter, Larry B. Wallnau, Lori-Ann B. Forzano

Publisher: Cengage Learning

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Textbook Question

Chapter 9.2, Problem 3LC

A sample is selected from a population and a treatment is administered to the sample. For a hypothesis test with a t statistic, if there is a 5-point difference between the sample mean and the original population mean, which set of sample characteristics is most likely to lead to a decision that there is a significant treatment effect?

a. Small variance for a large sample

b. Small variance for a small sample

c. Large variance for a large sample

d. Large variance for a small sample

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 + ...

Expert Solution & Answer

Chapter 9 Solutions

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 9.1 - In what circumstances is the t statistic used...Ch. 9.1 - A sample of n = 4 scores has SS = 48. What is the...Ch. 9.1 - On average, what value is expected for the t...Ch. 9.2 - A sample of n = 9 scores is selected from a...Ch. 9.2 - A hypothesis test produces a t statistic of t =...Ch. 9.2 - A sample is selected from a population and a...Ch. 9.3 - A sample of n = 25 is selected from a population...Ch. 9.3 - Prob. 2LC Ch. 9.3 - A sample of n = 4 scores is selected from a...Ch. 9.3 - A researcher uses a sample of n = 25 individuals...

Ch. 9.4 - A sample is selected from a population with a mean...Ch. 9.4 - A researcher predicts that a treatment will...Ch. 9.4 - A researcher fails to reject the null hypothesis...Ch. 9 - Under what circumstances is a t statistic used...Ch. 9 - A sample of n = 16 scores has a mean of M = 56 and...Ch. 9 - Find the estimated standard error for the sample...Ch. 9 - The following sample of n = 4 score was obtained...Ch. 9 - The following sample was obtained from a...Ch. 9 - Explain why t distributions tend to be flatter and...Ch. 9 - Find the t values that form boundaries of the...Ch. 9 - Find the t value that forms the boundary of the...Ch. 9 - A random sample n = 12 individuals is selected...Ch. 9 - A random sample of n 4 individuals is selected...Ch. 9 - Infants, even newborns, prefer to look at...Ch. 9 - The spotlight effect refers to overestimating the...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment, a sample of...Ch. 9 - Weinstein, McDermott, and Roediger (2010) report...Ch. 9 - To evaluate the effect of a treatment, a sample is...Ch. 9 - To evaluate the effect of a treatment a sample of...Ch. 9 - Standardized measures seem to indicate that the...Ch. 9 - Ackerman and Goldsmith (2011) found that students...Ch. 9 - Oishi and Shigehiro (2010) report that people who...Ch. 9 - McGee and Shevlin (2009) demonstrated that an...Ch. 9 - Belsky, Weinraub, Owen, and Kelly (2001) reported...Ch. 9 - An example of the vertical-horizontal illusion is...

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