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SCI1020 - Introduction to Statistical Reasoning - S1 2025

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The central limit theorem says that when a simple random sample of size n is drawn from any population with mean μ and standard deviation σ, then when n is sufficiently large

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Which of the following statements is correct about a parameter or a statistic associated with repeated random samples of the same size from the same population?

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Eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs from all the eggs shipped in one day. The laboratory reports that 11 of these eggs had salmonella contamination. Unknown to the producer, 0.2% (two-tenths of one percent) of all eggs shipped had salmonella. In this situation

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This graph is the residual plot associated with a scatterplot of concentration against distance from a roadway (in km) for the change in the level of a pollutant from car exhausts as you go away from the road.

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Which of the following statements is consistent with this evidence?

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One of the factors affecting used car price is the odometer reading that shows what distance (km) the car has been driven prior. The following equation shows their relationship

y = 28880 - 0.05x

where y is the price ($) of the used car and x is the odometer reading (km). The model indicates that 

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The graph below shows the HIV virus load in an individual every week following an infection. From the general appearance of this relationship, which of the following statements is most TRUE?

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If 100.5 = 3

Calculate  log10(3)

Give your answer to ONLY one (1) decimal place.

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The initial population of a town is 12,000 and it grows with a doubling time of 40 years.

What will be the population of the town in 80 years from now?

Give your answer to the nearest integer and do not include a comma.

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The price of petrol is decreasing by 2 cents per litre per week. If the price of petrol today is $2.28 per litre, what will the price of petrol per litre be in 10 weeks?

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The price of petrol is decreasing by 2 cents per litre per week. This pattern of change is best described as:

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