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 distractingstimuli during eating, such as an increase or decrease in the amount of food consumption. To test thishypothesis, they monitored food intake for a group of 44 patients who were randomized into two equalgroups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without anyadded distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with astandard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams ofbiscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that theaverage food intake (measured in grams of biscuits consumed) is different for the patients in the treatmentgroup? Assume that conditions for inference are satisfied.What are the hypotheses for this test?O Ho: Pno distraction = PdistractionHa: Pno distraction Pdistraction<O Ho: Pno distraction = PdistractionHa: Hno distractionHdistractionO Ho: Pno distraction = PdistractionHa: Pno distraction * PdistractionThe 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 testin the context of the study:

Name: Can you please help with this problem thanks in advance. Gaming and di
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: 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 distractingstimuli during eating, such as an increase or decrease in the amount of food consumptio

Answered: Gaming and distracted eating: A group…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

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:

Expert Solution

Step 1

Let $μ_{no distraction}$ denote the control group ate lunch without any added distraction, and $μ_{distraction}$ 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:

$H_{0} : μ_{no distraction} = μ_{distraction}$

Alternative hypothesis:

$H_{a} : μ_{no distraction} \neq μ_{distraction}$

The pooled variance is,

$\begin{array}{rcl} s_{p}^{2} & = & \frac{(n_{1} - 1) s_{1}^{2} + (n_{2} - 1) s_{2}^{2}}{n_{1} + n_{2} - 2} \\ = & \frac{(22 - 1) 26 . 4^{2} + (22 - 1) 45 . 1^{2}}{22 + 22 - 2} \\ = & \frac{57350.37}{42} \\ = & 1, 365.485 \end{array}$

The pooled variance is 1,365.485.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

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.

Similar questions