t test for Independent Means Professor Smith hypothesizes that type of TV show impacts people’s mood. To study this, she uses two groups: the experimental group who watches reality TV shows for three hours, while the control group watches the news for three hours. Each of the groups then completes an assessment of mood. In all, 32 people participate: 17 watch reality TV shows and 15 watch the news. The Mean, Sample Size, and SS for each group are below. Using these data, conduct a t test (p<.05) to determine if TV show type had an impact on an individual’s mood. Reality TV Shows: News: N = 17 N = 15 M = 34 M = 24 SS = 340 SS = 251 Step 1) Create a research hypothesis and a null hypothesis about the populations. Null hypothesis (H0): Research hypothesis (HA): Step 2) Determine the characteristics of the comparison distribution. Degrees of freedom for experimental group and control group = df1 = and df2 = Total degrees of freedom = dftotal = __ Estimated population variances based on each sample = S21 = and S22 = _ The pooled estimate of the population variance = S2Pooled = ___ The variance of each distribution of means = S2M1 = _ and S2M2 = _ The variance of the distribution of differences between means = S2difference = _ The standard deviation of the distribution of differences between means = Sdifference = _ Step 3) Determine the cutoff sample score at which the null hypothesis should be rejected (using a 0.05 p value). Cutoff t = Step 4) Determine your sample’s score on the comparison distribution. t = _____ Step 5) Decide whether or not to reject the null hypothesis.

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Description: t test for Independent Means Professor Smith hypothesizes that type of TV show impacts people’s mood. To study this, she uses two groups: the experimental group who watches reality TV shows for three hours, while the control group watches the news f

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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t test for Independent Means Professor Smith hypothesizes that type of TV show impacts people’s mood. To study this, she uses two groups: the experimental group who watches reality TV shows for three hours, while the control group watches the news for three hours. Each of the groups then completes an assessment of mood. In all, 32 people participate: 17 watch reality TV shows and 15 watch the news. The Mean, Sample Size, and SS for each group are below. Using these data, conduct a t test (p<.05) to determine if TV show type had an impact on an individual’s mood.

Reality TV Shows: News:

N = 17 N = 15

M = 34 M = 24

SS = 340 SS = 251

Step 1) Create a research hypothesis and a null hypothesis about the populations.

Null hypothesis (H₀):
Research hypothesis (H_A):

Step 2) Determine the characteristics of the comparison distribution.

Degrees of freedom for experimental group and control group = df₁ = ______ and df₂ = __________
Total degrees of freedom = df_total = __________
Estimated population variances based on each sample = S²₁ = ______ and S²₂ = _______
The pooled estimate of the population variance = S²_Pooled = ___________
The variance of each distribution of means = S²_M1 = _________ and S²_M2 = ___________
The variance of the distribution of differences between means = S²_difference = ___________
The standard deviation of the distribution of differences between means = S_difference = ___________

Step 3) Determine the cutoff sample score at which the null hypothesis should be rejected (using a 0.05 p value).

Cutoff t = __________

Step 4) Determine your sample’s score on the comparison distribution.

t = _________

Step 5) Decide whether or not to reject the null hypothesis.

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