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SCI1020 - Introduction to Statistical Reasoning - S1 2025

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The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) was measured for each of 50 subjects. The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below. 

The scatterplot suggests 

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The Melbourne Zoo conducts a study of its donors to determine whether a household's income can be used to predict the amount of money the household will give to the zoo's annual fund drive. The response variable in this study is

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From the options below, select ALL statements that are true about the following diagram:

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Scores on a university exam are Normally distributed with a mean of 68 and a standard deviation of 9. 

Using the 68-95-99.7 ("empirical") rule, calculate what percentage of students score above 77. 

Enter your answer (number only) below:

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The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.

5.6

5.2

4.6

4.9

5.7

6.4

5.9

6.7

4.2

Calculate the mean level of phosphate for the nine clinic visits in mg per dL.

Enter your answer, corrected to 2 decimal places, below:

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The following is a boxplot made from the verbal GRE exam scores of applicants in an entrance test to a university.

Based on this boxplot, which of the following statements is true?

** Select all correct answers.

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The five-number summary of the ages of 18 teachers in a university maths department was found to be

(32, 39, 47.5, 58, 68)

Using the rule for identifying outliers, what is the upper boundary in years above which values would be regarded as high outliers? Enter the numeric value only below:

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The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.

5.6

5.2

4.6

4.9

5.7

6.4

5.9

6.7

4.2

Calculate the median level of phosphate for the nine clinic visits in mg per dL. Enter only the number value below.

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 The histogram below shows the average property damage in millions of dollars caused by tornadoes over a 50-year period in each of the 50 states and Puerto Rico.

From the histogram, the first quartile must be

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The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In each class interval, the left endpoint is included but not the right, so the class intervals are 10 ≤ rate < 15, 15 ≤ rate < 20, etc.

What is the approximate shape of this distribution?

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