survey) ly e 6. Larger Sample Size. When a ran- of of at dom sample is used to e

Question

survey) ly e 6. Larger Sample Size. When a ran- of of at dom sample is used to estimate a pop- ulation mean, the sample mean tends to become a better estimate of the population mean as the sample size increases. n7. Large Sample Size. A researcher for a car deal- ership 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 win- dows. He then computes the mean age of the sample of 3,000 cars. 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 he n- and nd the ake Survey. In an Adecco Staffing survey of 1,000 adults in the United States. 140 (or 14%) said that salary was the most important feature of their job. The sample proportion of 0.14 cannot be a good estimate of the population proportion because this survey is based on such a small proportion of the population of adults. nI8. con- ave am- esult nean Cour

Explanation / Answer

6

This is True.

as the sample size increases , the sample mean tends to be closer to the population mean due to the central limit theorem

7
False , the convinient samping means that the samples were taken as per the easiest way , hence sampling 3000 samples will not be representative of the true population , hence no meaninful inference can be drawn from this sample. a sample must be a true representative of the population under consideration

8

False , the population proportion could be a good estimate however , we need to test this out using a z test for proportions that tells us whether the proportion is signficant or not. if it is not , then no inference can be drawn for the population , as the result is not significant

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