Question

40 POINTS [Statistics] Distributions of sample ranges, means, and medians.

1. Samples of size n = 150 are randomly selected from the U.S. census data, and the income range is found for each sample. What is the distribution of the sample ranges?

skewed to the right
normal (approximately)
skewed to the left
not enough information provided


2. Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?

normal (approximately)
not enough information provided
skewed to the right
skewed to the left



3. Samples of size n = 250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians?

normal (approximately)
not enough information provided
skewed to the left
skewed to the right

Answer 1

Step-by-step explanation:Ranges are biased. Therefore normal distribution is not applicable.

Unbiased are mean, proportions and variance (skewed to the right). Never are we provided enough information for range and median. The answer is: not enough information.

Hence for both ranges and medians the correct answer is: not enough information. 1 and 3.

Answer 2

The correct answer for this question is this one:

1. Samples of size n = 150 are randomly selected from the U.S. census data, and the income range is found for each sample. What is the distribution of the sample ranges?

skewed to the right
normal (approximately)
skewed to the left
not enough information provided


2. Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?

normal (approximately)
not enough information provided
skewed to the right
skewed to the left



3. Samples of size n = 250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians?

normal (approximately)
not enough information provided
skewed to the left
skewed to the right
Hope this helps answer your question and have a nice day ahead.