Question

Please answer with lots of detail; thank you!

The mass of garbage put out for curbside pickup, per household, in a certain community, is reported to have a mean of 340 kg/year and a standard deviation of 85 kg/year. Based on this information:

d) Assuming again that the population is very large, let us now suppose that 4 consecutive samples of 200 households are taken, and each one of them has a sample mean less than 330 kg/year. Calculate the probability of obtaining this result.

e) Based on your answer for Part (d), is there reason to believe that the mean weekly garbage output per household is not actually around 340 kg/year? If so, in which direction has the mean garbage output shifted? Explain your answers using your previous calculations for this question, plus your knowledge of statistics fundamentals.

Answer 1