Question

Serum glutamic oxaloacetic transaminase (SGOT) is an enzyme that elevates when the heart muscle is damaged. Assume that the population distribution of SGOT levels in adults with healthy hearts is known to be normally distributed with ? = 18.5 units/L and ? = 13.2 units/L.

a. What proportion of adults with a healthy heart have an SGOT level of above 25 units/L? (0.5pts)

b. For a sample size of ? = 40 from this population, what would be the sampling distribution of the mean SGOT level? Include the type of distribution and the values of the defining parameters. (0.5pts)

c. Now suppose you collected a sample of ? = 40 adults who recently underwent heart surgery. If the sample mean SGOT level you got was above 25 units/L, do you think that the SGOT level of people who have recently undergone heart surgery actually has a distribution with ? = 18.5 units/L? Why or why not?

For each of the following scenarios, state the appropriate null hypothesis and indicate whether the result corresponds to a Type-I error, a Type-II error, or no error. Use α=0.05. (1pt each)

a. A new method of relaxation training, which includes mediation and biofeedback, is reported to be successful at reducing high blood pressure, even though it doesn’t actually have any effect on blood pressure.

b. A study that tested if there was any relationship between a person’s heart rate and consuming a small amount of caffeine resulted in a p-value of 0.21. In truth, there is no relationship between heart rate and caffeine in this population.

c. Park officials tested if new design of bear-proof trash bins is more successful at keeping bears out than the bins they currently use. Fact is that the new design is actually more successful than the current one. Their test resulted in a p-value of 0.08.

Answer 1

Answer:

b)

c)

2)