Question
please answer questions 5 to 8 only.
The instruction is on top of question 5.
thank you
Statistical Literacy and Critical Thinking 1. Sampling when compared with the second Distribution. Pollsters ofien use randomly survey). selected digits between 0 and 9 o generate pants of tele 6. Larger Sample Size. When a ran- phone mambers to be called. What is the distribation of dom sample is used to estimate a pop- ulation mean, the sample mean tends to selected digits? If randomly generating 50 digits and finding the mean, what become a better estimate of the popalation is the distribution of the resuling sample means? mean as the sample size increases 2. Polls. America OnL ine published a suney question. 7 Large Sample Size. A researcher for a car Among the 2,300 Internet users who responded, 20% ership wants to estimate the mean age answered "yes" and the others answered "no" For the es responses, what is the value of p? What is fundamen-of cars in his counly. He goes to the largest shopping mall, he randomly tally wrong with this survey? what is the difference between them? what is the difference berween them? selects 3,00) cars in the parking lot and he obtains their ages from the registration stickers on the car wirn dows. He then computes the mearn 3. Notation, what does x denote, what does derole, and 4. Notation. What does p denote, what does p denole, and age of the sample of 3,000 cars. The sample mean is a good estimate of Does It Make Sense? Foe Exereises S-8, decide whether thelthe population mean, because the large stalement makes sense (or is clearly true) or does nol make sense (or is clearly false). Explain clearly. Not all of thes stalements have definitive answers, so your explanution is more important than your chosen answer 5. Larger Sample Size. Two different surveys will be con- sample size compensates for the fact that he is using a convenience sample. 8. Survey. In an Adeoco Staffing survey of 1,0 adults in the United States, 140 (or l4%) said thal salay was the most important fealure of ducted to estimate the mean salary of employees who havetheir joh. The sample proportion of 0.14 cannot taken a statistics course. If the first survey has a larger sam ple size than the second survey, the first survey will resall in a sample mean that is closer to the population mean peuportion of the population of aduts be a good inune ofthe population progotion because this survey is based on such a small 0 a.
Explanation / Answer
Result:
5).
True. When sample size increases sample mean approaches population means. Therefore we may expect large sample mean closer to population mean than small sample mean.
6). True. By large sample theory, when sample size increases sample mean approaches population means.
7).
False. Even though the sample size is large, it is not randomly selected. The sample is not the representative sample. Therefore it is not a good estimate.
8).
False. If the sample is random, even a small sample gives a good estimate .
