SWIN BUR · NE . Swinburne Online STA10003 Foundations of Statistics Model reports relevant to Assignment 2 In this document you'll find all of the model reports from the eText that are relevant to the assignment. Note that we've provided lots of model reports and they cover all possibilities. So, for example, in the one sample t-test you'll find three model reports: for a significant t-test where the results supported the hypothesis; one report where the t-test was significant but the direction of the difference was contrary to expectations; and one report where the t-test was not significant. If you compare the three different one-sample t-test reports on the age of tourists in Katatonia you'll see that they all have the same basis, with just minor changes for the three different outcomes Description of the distribution of a metric variable (E.g. 1) The distribution of house prices in a sample of 542 South Australian houses is displayed in Figure 1. The distribution is positively skewed with 50% of houses priced at $430,000 or less. Typically house prices were between $390,000 and $550,000 with half of the house prices falling within this range. Two houses had exceptionally high prices of $1,030,000 and $1,050,000. Figure 1 Distribution of House Prices Frequency 40 500 800 1000 House prices in 8'000 (E.g. 2) The distribution of time taken to travel to work in a sample of 250 Australian workers is displayed in Figure 1. The distribution is approximately symmetric and the average travel time was 20 minutes (s = 5.00). Typically travel times were between 17 and 24 minutes with half of the travel times falling within this range. 1 | Page .
SWIN BUR · NE . Swinburne Online Figure 1 Distribution of Travel Times to Work 25 20 15 Frequency 10 5 0 5 10 15 20 25 30 35 Time to travel to work (Minutes) Description of the distribution of categorical variable The distribution of main use of mobile phone for a sample of 98 Expencitel customers is displayed in Figure 1. The most common primary use was to send SMS messages (53%), but making phone calls was also a common response (43%). Very few people said that the primary use for their phone was either taking photographs or listening to mp3 files. Figure 1 Primary Use of Mobile Phone DD 50 40 30 Percent 20 phora calle T T photographs Mobile most used for One Sample t-test (E.g. 1) A study was conducted to investigate whether the age of tourists in Katatonia has increased since 1995. In a random sample of 250 tourists in Katatonia, the average age was 47.77 years (SD = 15.41 years). This is higher than the average age of 45 years recorded in 1995, and a one-sample t- test shows that this difference in mean age is significant, t(249) = 2.84, p = . 005. The 95% confidence interval indicates that since 1995 the average age of tourists has increased between 0.85 and 4.69 years. As