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1.) What are the assumptions of a two-sample t-test? Select all that apply below

  A) Both samples were obtained using a random sampling method.

  B) The observations in one sample are independent of the observations in the other sample.

  C) Both samples are approximately normally distributed.

  D) Both samples have approximately the same variance.

  E) Both samples have approximately the same mean.

2.) What is the critical value of t with α=0.1 for this test? Give your answer to two decimal places.

3.) What is the most precise P-value that you can determine for this test?

4.) What can you conclude about the difference between the older and younger people in how often they dream in color? Interpret the conclusions of the test in terms of the original scientific question.