Question

A survey was conducted on 800 students regarding the number of automobiles in their household. A sample mean of 2.7 automobiles was determined, with a standard deviation of 0.7 automobiles. Assuming a 95% confidence level, which of the following statements holds true?

Answer 1

The margin of error is z*SD/sqrt(n). z is the critical score for a 95% confidence interval, which is 1.96. SD = 0.7, and n = 800 (the sample size). Therefore the margin of error is 1.96*0.7/sqrt(800) = 0.049. This is an appropriately large sample size.
The correct answer is: As the sample size is appropriately large, the margin of error is ±0.049.

Answer 2

Answer:

C.  

There is a 95% certainty that the sample mean will fall within the interval 2.65 to 2.75.

Step-by-step explanation: