1. For the Fiji farm survey data set, produce a histogram for the variable ‘Education’. Interpret you results and explain any grouping in the histogram
2. Using the Australian retail turnover data set, produce a scatter plot of the turnovers for food retailing and department stores. Comment on your findings.
3. For the Dairy data set, produce a Pareto chart for the state-wide production of milk in 2007–08.
4. Access the Top 1000 Data set
a. )
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Calculate the descriptive statistics for net profit, total revenue, and number of employees.
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b. )
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What conclusions can you reach from the comparison of net profit and revenue distributions? Calculate the coefficient of variation for each distribution and comment on the variability of the two distributions.
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c. )
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Calculate the descriptive statistics for return on funds and return on revenue. Comment on the distribution.
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6.
Use the Queensland tourism data set. What is the probability that a randomly selected Queensland hotel room was occupied in September 2008? Use this as the value of
pa binomial experiment and assume it is the current rate of occupancy. If you were to randomly select 10 hotel rooms in Queensland, what is the probability that no more than five are occupied? If you were to randomly select 20 hotel rooms in Queensland, what is the probability that no more than 10 are occupied?
7.
Use the Fiji farm survey data set; noting that the cultivated area variable is nearly normally distributed. What is the probability that the area of a cultivated sugar cane farm selected at random is less than ten acres?
8.
Refer to the data for room occupancy rates for licensed hotels in the Queensland tourism data set. The room occupancy rate for the December quarter 2007 was 71.8%. Assume that this figure is typical for occupancy rates for this time of the year. If you randomly selected 50 licensed hotels, what is the probability that you will get a room occupancy rate for the December quarter 2007 that is less than 60%? What is the probability that you will get a room occupancy rate for the December quarter 2007 of between 80% and 90%?
9. Using the Fiji farm survey data set, construct a 95% confidence interval for the population mean cane output per farmer. Also construct a 95% confidence interval for population mean cane output per acre. Comment on the results.
10. Using the Top 1000 data set, test whether the mean return on revenue is less than 20%. Assume s is unknown, then repeat the test assuming s = 22. Use a = 5%. What do you conclude?
11. Using the Fiji farm survey data set, test whether the mean output per farmer is the same for land owned and land not owned. Use a level of significance 5%.
12.Develop a regression model from the ARIA data set to predict sales of CD albums from the sales of CD singles. Discuss the model and its strength on the basis of indicators presented in this chapter. Does it seem logical that unit sales of CD albums could be predicted by CD singles sales?