MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Topic Video
Question

Can you please help with this problem thanks in advance. 

Gaming and distracted eating: A group of researchers are interested in the possible effects of distracting
stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this
hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal
groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any
added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a
standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of
biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the
average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment
group? Assume that conditions for inference are satisfied.
What are the hypotheses for this test?
O Ho: Pno distraction = Pdistraction
Ha: Pno distraction Pdistraction
<
O Ho: Pno distraction = Pdistraction
Ha: Hno distraction
Hdistraction
O Ho: Pno distraction = Pdistraction
Ha: Pno distraction * Pdistraction
The test statistic for the hypothesis test is:
(please round to two decimal places)
The p-value for the hypothesis test is:
(please round to three decimal places)
State whether or not the null hypothesis should be rejected and interpret the result of the hypothesis test
in the context of the study:
expand button
Transcribed Image Text:Gaming and distracted eating: A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied. What are the hypotheses for this test? O Ho: Pno distraction = Pdistraction Ha: Pno distraction Pdistraction < O Ho: Pno distraction = Pdistraction Ha: Hno distraction Hdistraction O Ho: Pno distraction = Pdistraction Ha: Pno distraction * Pdistraction The test statistic for the hypothesis test is: (please round to two decimal places) The p-value for the hypothesis test is: (please round to three decimal places) State whether or not the null hypothesis should be rejected and interpret the result of the hypothesis test in the context of the study:
Expert Solution
Check Mark
Step 1

Let μno distraction denote the control group ate lunch without any added distraction, and μdistraction denote the treatment group ate lunch while playing solitaire. The test is that the average food intake is different for the patients in the treatment group. The hypothesis is,

Null hypothesis:

H0:μno distraction=μdistraction

Alternative hypothesis:

Ha:μno distractionμdistraction

The pooled variance is,

sp2=n1-1s12+n2-1s22n1+n2-2=22-126.42+22-145.1222+22-2=57350.3742=1,365.485

The pooled variance is 1,365.485.

Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman