Question

Veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of horses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years. Based on this information we conclude that a. 99% of all horses admitted for laminitis are between 6.3 and 7.4 years old. b. we can be 100% sure that the average age of horses admitted with laminitis is between 6.3 and 7.4 years. c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old. d. All of the answers are correct.

Answer 1

c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.

Explanation:

Given that veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of horses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years.

i.e. if X is the age of horses admitted for laminitis then the sample mean i.e. x bar follows a distribution with 99% confidence interval as

(6.3,7.4)

The interpretation of 99% confidence interval is the for sample of large size drawn at random from population we can be 99% confident that the sample mean will fall within this interval.

So the correct option is

c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.