In a study of memory recall, eight students from a large psychology class were selected at random and given 10 minutes to memorize a list of 20 nonsense words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The data are given in the accompanying table. Subject 1 2 3 4 5 6 7 8 1 hr later 14 12 18 7 11 9 16 15 24 hr later 8 9 16 5 8 5 13 12 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.) t= P-value= State the conclusion in the problem context. We reject H0. We have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.We fail to reject H0. We do not have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3. We reject H0. We do not have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.We fail to reject H0. We have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.

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Description: In a study of memory recall, eight students from a large psychology class were selected at random and given 10 minutes to memorize a list of 20 nonsense words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a study of memory recall, eight students from a large psychology class were selected at random and given 10 minutes to memorize a list of 20 nonsense words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The data are given in the accompanying table.

Subject	1	2	3	4	5	6	7	8
1 hr later	14	12	18	7	11	9	16	15
24 hr later	8	9	16	5	8	5	13	12

Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.)

P-value=

State the conclusion in the problem context.

We reject H₀. We have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.We fail to reject H₀. We do not have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3. We reject H₀. We do not have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.We fail to reject H₀. We have convincing evidence to suggest that the mean number of words recalled after 1 hour is greater than the mean recall after 24 hours by more than 3.

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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