Is when the population standard deviation and variance are unknown. Justin wants to know whether a commonly prescribed drug does improvethe attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx, so he calculated s2x =1.96.(1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test. Include the following: IV: DV: Null Hypothesis: Alternative Hypothesis: I want you to show me that you know how to solve and interpret the results from a Paired - Samples t-Test. 2. A researcher studies the effect of cognitive psychotherapy on positive self-regard. The number of positive statements made about oneself is recorded for each participant during the first meeting. After 8 weekly therapy sessions, the measures are repeated for each person. The therapist predicts that cognitive psychotherapy will increase the number of positive statements. For the following data:Before TreatmentAfter Treatment71061297517a. Identify the IV and DV.b. State the hypotheses.c. Set the criteria for the decision (In other words, what is the t-critical value?).d. Conduct the appropriate hypothesis test.e. Make a decision about the null hypothesis. Should you reject the Ho? f. Interpret the results. What do the results of your test tell you about cognitive psychotherapy and positive self-regard?

Given that Population mean =2.3 minutes Sample size (n)=12 Sample mean =4.6 Sample variance =1.96…

Answered: Justin wants to know whether a commonly…

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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Is when the population standard deviation and variance are unknown.

Justin wants to know whether a commonly prescribed drug does improvethe attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σ_x, so he calculated s²_x =1.96.
(1) Create your own example of a Related/Paired Samples t-Test. You don't have to solve this example, but I want you to demonstrate that you understand the methodology (the way a study is designed) of the Paired-Samples t-Test.

Include the following:

IV:

DV:

Null Hypothesis:

Alternative Hypothesis:

I want you to show me that you know how to solve and interpret the results from a Paired - Samples t-Test.

2. A researcher studies the effect of cognitive psychotherapy on positive self-regard. The number of positive statements made about oneself is recorded for each participant during the first meeting. After 8 weekly therapy sessions, the measures are repeated for each person. The therapist predicts that cognitive psychotherapy will increase the number of positive statements. For the following data:

Before Treatment After Treatment

7 10

6 12

9 7

5 17

a. Identify the IV and DV.

b. State the hypotheses.

c. Set the criteria for the decision (In other words, what is the t-critical value?).

d. Conduct the appropriate hypothesis test.

e. Make a decision about the null hypothesis. Should you reject the Ho?

f. Interpret the results. What do the results of your test tell you about cognitive psychotherapy and positive self-regard?

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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