For exercises 5-8 decide whether the statement makes sense (or is clearly true)
ID: 3217920 • Letter: F
Question
For exercises 5-8 decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false) Explain clearly. Not all of these statements have definitive answers so your explanation is more important than your chosen answer.
Larger Sample Size. Two different surveys will be conducted to estimate the mean salary of employees who have taken a stats course. IF the first survey has larger sample size than second survey, the first survey will result in a sample mean that is closer to the population mean (when compared with the 2nd survey)
Larger sample size. 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.
Large Sample Size 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. The sample mean is a good estimate of the population mean, because the large sample size compensates for the fact he is using a convenience sample.
Survey In an Adecco Staffing Survey of 1000 adults in the US 140 of (14%) said that salary was the most important feature of their job. The sample proportion of the 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.
Explanation / Answer
1 False. The survey size changes the standard deviation. The mean is assumed to be always equal to population mean regardless of the size.
2 False. The survey size changes the standard deviation. The mean is assumed to be always equal to population mean regardless of the size.
3. False. The large sample size would not compensate for the fact that the sample is biased . Hence, mean of sample would not be equal to mean of his cars
4 False. It can be a good estimate of population mean if the sample is unbiased.
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