Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly on a test with six problems of the form 3+2+8 = +8 were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n x No gesture Gesture 42 1.2 43 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using a = 0.01. (Use a statistical computer package to calculate the P-value. Use no gesture gesture. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t= df= P-value= State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. O Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

11.1.1

Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly
on a test with six problems of the form 3 + 2 + 8 = +8 were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All
the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal.
Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the
blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this
type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are
given below.
n
X
S
No gesture
Gesture
42
43
1.2
2.4
0.3
0.4
Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant
hypotheses using α = 0.01. (Use a statistical computer package to calculate the P-value. Use "no gesture μgesture Round your test statistic to two decimal places, your df down to the
nearest whole number, and your P-value to three decimal places.)
t =
df =
P-value =
State your conclusion.
Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
Reject Ho
We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
○ Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
Transcribed Image Text:Can moving their hands help children learn math? This question was investigated in a study. Eighty-five children in the third and fourth grades who did not answer any questions correctly on a test with six problems of the form 3 + 2 + 8 = +8 were participants in an experiment. The children were randomly assigned to either a no-gesture group or a gesture group. All the children were given a lesson on how to solve problems of this form using the strategy of trying to make both sides of the equation equal. Children in the gesture group were also taught to point to the first two numbers on the left side of the equation with the index and middle finger of one hand and then to point at the blank on the right side of the equation. This gesture was supposed to emphasize that grouping is involved in solving the problem. The children then practiced additional problems of this type. All children were then given a test with six problems to solve, and the number of correct answers was recorded for each child. Summary statistics read from a graph in the paper are given below. n X S No gesture Gesture 42 43 1.2 2.4 0.3 0.4 Is there evidence to support the theory that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses? Test the relevant hypotheses using α = 0.01. (Use a statistical computer package to calculate the P-value. Use "no gesture μgesture Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.) t = df = P-value = State your conclusion. Fail to reject Ho. We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Fail to reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. Reject Ho We do not have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses. ○ Reject Ho. We have convincing evidence that learning the gesturing approach to solving problems of this type results in a higher mean number of correct responses.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 12 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman