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?

Question

Mathematics

Beckett Johnson

7 June, 13:08

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?

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Judah Bullock · 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.