Question

A team of dermatological researchers were studying skin cancer among 60-70 year old American men. Suppose you were a part of the research team and take a sample of n =70 men from this age group and calculate the mean number of skin cancer spots in the sample. Also suppose that it is known that the distribution of the number of cancer spots is right-skewed.1. How is the standard deviation of the distribution of sample means related to the population standard deviation of the number of cancer spots?a. The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.b. The standard deviation of the distribution of sample means is equal to the population standard deviation of the number of cancer spots.c. The standard deviation of the distribution of sample means is greater than the population standard deviation of the number of cancer spots.

d. We cannot be sure of any of the above answers until we examine the data.

Answer 1

The correct answer is Option A.) The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.

Explanation:

The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.