There were over 3.5 million hospital discharges in the state of California in 2000. Patient length of stay is a measure of the total days spent in the hospital. In the 2000 California discharge dataset, the mean length of stay was 4.5 days (SD: 4.5) and the median length of stay was 3.0 days. It is a skewed distribution.

Question 202 pts

Suppose we compare a random sample of 100 discharges (sample A) versus a random sample of 2,000 discharges (sample B). What can be said about the standard error of sample A (SE_A) to that of sample B (SE_B)?

Group of answer choices

A. SE_A would be the same as SE_B

B. SE_A > SE_B

C. SE_A < SE_B

D. More information is needed to determine the relationship

Question 212 pts

5,000 random samples were taken from the California discharge dataset, each containing 100 discharges. For each of the 5,000 samples, the sample mean was computed. The 5,000 sample means were then plotted in a histogram. Which of the following is most likely true?

Group of answer choices

A. The histogram will be normally distributed because the central limit theorem applies

B. The histogram will appear right skewed

C. This histogram will appear left skewed

D. The histogram will look like a uniform distribution

Question 222 pts

A single random sample of 1,000 discharges was taken from the California discharge dataset and a histogram was made of length of stay. Which of the following is most likely true?

Group of answer choices

A. The histogram will be normally distributed because the central limit theorem applies

B. The histogram will appear right skewed

C. This histogram will appear left skewed

D. The histogram will look like a uniform distribution