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QUESTION

What is the null and alternative hypotheses for a one tailed "greater than" test?

  1. What is the null and alternative hypotheses for a one tailed "greater than" test? (1 pt)
  2. In general, if some data we are working with is not normal, what one-sample test would you use (assume transformations do not work)? (1 pt)
  3. What are the assumptions for a one sample t-test? (1 pt)
  4. Use the "LakeHuron" data set in R to run a one sample test. It is up to you to pick either a one-tailed or two-tailed test and the mu value. Remember to check assumptions. Show code and results for each test used. (3 pts) 
  5. Interpret the results from question 4 in reference to the LakeHuron data set. (2 pts)
  6. What are the assumptions for a two-sample t-test? (2 pt)
  7. In terms of coding, what is different between the two-sample t-test and the Welch approximation? (1 pt)
  8. Why would we use a paired t-test? Compare the two-sample t-test to the paired t-test. (2 pts)
  9. Use the "Asthma.csv" data set on CANVAS. The data set is composed of two columns. The before column is the concentration of oxygen taken up by patients in 1 minute with asthma in ml (rounded to the nearest whole number). The after column is same, however, after patients received a new asthma medication. Based on the assumptions, what paired test should you use? What assumption tests did you use? Run the paired test you selected. Give the code used and interpret the output. (4 pts)
  10. From Mendel, we know pea flowers have the following color distribution when two heterozygous plants are crossed (Pp): 1 homozygous dominate (PP): 2 heterozygous dominate (Pp): 1 homozygous recessive (pp).If we repeat the study and get the following counts, does the observed match the expected distribution?42 PP : 108 Pp : 51 ppWhat test did you run? Show code and interpret the results. (3 pts)
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