*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 (H
_{0}): - Research hypothesis (H
_{A}):

Step 2) Determine the characteristics of the comparison distribution.

- Degrees of freedom for experimental group and control group = df
_{1}= ______ and df_{2}= __________ - Total degrees of freedom = df
_{total}= __________ - Estimated population variances based on each sample = S
^{2}_{1}= ______ and S^{2}_{2}= _______ - The pooled estimate of the population variance = S
^{2}_{Pooled}= ___________ - The variance of each distribution of means = S
^{2}_{M1}= _________ and S^{2}_{M2}= ___________ - The variance of the distribution of differences between means = S
^{2}_{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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