Reference no: EM132527737

You are advised to first perform the appropriate hypothesis test using pencil and paper, along with a calculator and statistical tables, and then use your working to answer the questions below.

According to the Australian Bureau of Statistics, the quantity of waste ending up in municipal landfills amounts to 0.80 kg per person per day. Some claim that because of recycling and greater emphasis on the environment, this figure is now lower. Others contend that constant increases in packaging and other life-style developments have pushed this figure higher in spite of recycling efforts. To test whether the amount of garbage per person has changed, a random sample of 54 Australians was taken and they were asked to keep a log of their garbage for a day. The sample mean was 0.92 kg.

Assuming that the population standard deviation is 0.5 kg, and that the amount of garbage per person per day is normally distributed, use the sample data to determine whether there is sufficient evidence at the 5% level of significance to assert that the amount of garbage per person per day has changed.

(a) According to the null hypothesis, the value of the population mean is Answer kg. (Answer in the form x.xx)

(b) Is the test one-tailed or two-tailed? Answer: Answer (answer 1 or 2)

(c) To 3 decimal places the upper tail critical value of the test statistic for this hypothesis test is: Answer (Answer in the form x.xxx)

(d) To 3 decimal places the upper tail test statistic calculated from the sample is: Answer (Answer in the form x.xxx)

(e) Is the null hypothesis rejected at the 5% level? Answer: Answer (Answer YES or NO)

(f)Does this mean that the amount of garbage per person per day has changed? Answer: Answer (Answer YES or NO)

(g) Is the assumption that the amount of garbage is normally distributed necessary in order to perform this test? Answer (Answer YES or NO)