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What is the value of the between-group variance

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A psychologist was interested in whether different TV shows lead to a more positive outlook on life. People were split into 4 groups and then taken to a room to view a program. The four groups saw: The Muppet Show, Futurama, BBC News, No Program. After the program a blood sample was taken and serotonin levels measured (remember more serotonin means more happy!) Carry out one-way ANOVA by hand to test the hypothesis that some TV shows make people happier than others. State your conclusions.

In the table below you have a summary of the results:

The Muppet Show Futurama BBC News No Program

Sample size 7 6 6 8

Mean 9.43 7.67 3.33 4.75

Variance 8.95 5.87 2.27 2.21

Grand Mean 6.30

Grand Variance 10.06

  1. What is the critical value at a=0.05?
  2. What is the value of the between-group variance? Round your answer to two decimal places.
  3. What is the value of the within-group variance? Round your answer to two decimal places.
  4. Using your answers from (3) and (4), solve for the F test value. Round your answer to two decimal places.

Reference no: EM132514680

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