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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 (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).

- November 14, 2022 - Edwin Tunner

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 (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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