PLEASE EXPLAIN THIS QUESTION 6.5 There were 233,467 deaths in California in 2007

Question

PLEASE EXPLAIN THIS QUESTION

6.5 There were 233,467 deaths in California in 2007; the names of these decedents were arranged in alphabetical order. A random number generator was used to select 100 numbers between 1 and 233,467. State whether each of the following sampling procedures is likely to produced biased estimates of the average age at which these people died. a. The research assistant wrote down only the first 50 random numbers. b. The research assistant put the random numbers in numerical order; for example, the numbers 7, 3, 9 were changed to 3, 7, 9. c. The research assistant put the ages of the 100 randomly selected people in numerical order; for example, the people with ages 85, 72, 91 were put in this order: 72, 85, 91.

Explanation / Answer

100 random numbers are slected from 1 to 233,467.

a) The research assistant wrote down only 50 random numbers

This sampling procedure is biased as we are considering only half of the required sample.

b) The research assistant put the random numbers in numerical orders; for example the numbers 7,3,9 were changed to 3,7,9.

This sampling procedure will also produce biased estimate as we are not considering the random numbers and not age of the randomly selected people.

c) The research assistant put the ages of the 100 randomly selected people in numerical order; for example, the people with ages 85,72,91 were put in this order : 72,85,91

This is the correct sampling procedure as it will give us an unbiased estimator of average age at which people died.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.