When a random sample is used to estimate a population mean, the sample mean tend

Question

When a random sample is used to estimate a population mean, the sample mean tends to become a better estimate of the population mean as the sample size increases. A researcher for a car dealership wants to estimate the mean age of cars in his county. He goes to the largest shopping mall, he randomly selects 3,000 cars in the parking lot, and he obtains their ages from the registration stickers on the car windows. He then computes the mean age of the sample of 3,000 ears. The sample mean is a good estimate of the population mean, because the large sample size compensates for the fact that he is using a convenience sample.

Explanation / Answer

6)True

this is because

Xbar is unbiased estimator and its standard error of sample mean is s^2/n

hence as we increase n ,standard error decrease ,hence sample mean tend to better estimator as sample size increase

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