A researcher wishes to examine whether time of day (morning versus afternoon) affects the memory of older and younger participants. He obtains a sample of 40 older individuals and 40 younger individuals and gives them a passage to read. They are later given a test over the passage (scores on the test could range from 0 to 30). Half of the individuals are randomly assigned to read the passage and take the test in the morning, and the other half do so in the afternoon. The data are reported in the table below (the numbers represent mean test scores for each group). Morning TestingAfternoon TestingOlder AdultsM = 15M = 15Younger AdultsM = 19M = 20 Does there appear to be a main effect of time of day?Does there appear to be a main effect of age?Does there appear to be an interaction between age and time of day? Suppose instead, you obtained the following data: Morning TestingAfternoon TestingOlder AdultsM = 19M = 12Younger AdultsM = 19M = 12 Does there appear to be a main effect of time of day?Does there appear to be a main effect of age?Does there appear to be an interaction between age and time of day? (Hint: Draw a line graph)

Given:: A researcher wishes to examine whether time of day (morning versus afternoon) affects the…

Answered: A researcher wishes to examine whether…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

See similar textbooks

Related questions

Question

A researcher wishes to examine whether time of day (morning versus afternoon) affects the memory of older and younger participants. He obtains a sample of 40 older individuals and 40 younger individuals and gives them a passage to read. They are later given a test over the passage (scores on the test could range from 0 to 30). Half of the individuals are randomly assigned to read the passage and take the test in the morning, and the other half do so in the afternoon. The data are reported in the table below (the numbers represent mean test scores for each group).

	Morning Testing	Afternoon Testing
Older Adults	M = 15	M = 15
Younger Adults	M = 19	M = 20

Does there appear to be a main effect of time of day?

Does there appear to be a main effect of age?

Does there appear to be an interaction between age and time of day?

Suppose instead, you obtained the following data:

	Morning Testing	Afternoon Testing
Older Adults	M = 19	M = 12
Younger Adults	M = 19	M = 12

Does there appear to be a main effect of time of day?

Does there appear to be a main effect of age?

Does there appear to be an interaction between age and time of day? (Hint: Draw a line graph)

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here