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Analyzing Distributions and Hypothesis Testing in Statistics

· Description of the distribution of a metric variable >The distribution of house prices in a random 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. >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 to work was 20 minutes (s = 5). Typically travel times were between 17 and 24 minutes, with half of the travel times falling within this range. · 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. · One Sample t-test >A study was conducted to investigate if the age of tourists visiting Katatonia is higher than it was in 1995. In a random sample of 250 tourists in Katatonia, the average age was 47.77 years (s = 15.41 years). This is (A) higher/(B) lower/(C)while this than the average age of 45 years recorded in 1995, and one-sample t-test shows that this difference in mean age is significant/not significant, t(249) = 2.84, p= . 005. The 95% confidence interval indicates the average age of tourists is between 0.85 and 4.69 years higher/lower than it was in 1995. - As expected, the age of tourists in Katatonia is higher than it was in 1995. - Contrary to expectations, the age of tourists in Katatonia is lower than it was in 1995. - There is insufficient evidence to conclude that the age of tourists in Katatonia has changed since [or differs to that in] 1995. · Binomial test ?It was hypothesised that the percentage of Australians using a computer at home is higher than it was in 2001. In a random sample of 100 adult Australians, 54% had used a computer at home in the previous week. This is higher/lower than the percentage of Australians who reported using a computer at home in the 2001 census (42%), and a Binomial test shows that the difference is significant/not significant, n = 100, p = . 010. The 95% confidence interval indicates that between 44% and 64% of adult Australians currently use a computer at home. - As expected, the percentage of Australians using a computer at home is higher than it was in 2001. - Despite the government authority target, less than 35% of Kayden Real Estate properties are rented to families. - There is insufficient evidence to conclude that the percentage of