Question

Suppose you are planning an experiment and a sample has yet been selected. For this experiment you plan on taking a SRS of 50 mice with pancreatic cancer measuring a particular hormone level. What would be the impact on a 95% confidence interval calculated from the experiment on these mice if instead of a SRS of 50 mice, a SRS of 200 mice were taken? a) lf 200 mice were in the sample rather than 50 mice, the margin of error of the 95% confidence interval would be smaller. b) With 200 mice in the sample rather than 50 mice, the probability of selecting a sample whose confidence interval captures the true value of the average hormone level increases. c) With 200 mice in the study, your data is more likely to be normally distributed and so you won't have to worry about any extreme outliers in the data set. d) Exactly two of the above are correct. e) None of the above is correct.

Answer 1

Answer: alternative D.

Step-by-step explanation: The two correct alternatives are A and B, which state that a larger sample would fit into the 95% confidence interval with a smaller margin of error, since the more samples, the less is the deviance from its calculated average value. If the sample size is bigger and the margin of error smaller, the tendency to choose randomly one individual and having a result closer to the true value of the average hormone level increases.