ONLY NEED ANSWERS TO STEP 4 AND 5t test for Independent Means. Professor Wolinsky 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 = 15M = 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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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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ONLY NEED ANSWERS TO STEP 4 AND 5

t test for Independent Means. Professor Wolinsky 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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