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SCI1020 - Introduction to Statistical Reasoning - S2 2026

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When do we use a one-sample t-test?

A one-sample t-test is appropriate when:

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What are the degrees of freedom for a one-sample t-test when the sample size is n?

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The histogram below displays the distribution of heights (in cm) for all students at a local primary school. Based on the histogram, which of the following is the most plausible value for the standard deviation of the heights (in cm)?

histogram-normal

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The histogram below displays the distribution of heights (in cm) for all Grade 1 students at a local primary school. Based on the histogram, which of the following is correct?skew

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If you increase the sample size from 25 to 100 while keeping the population standard deviation constant, what happens to the standard deviation of the sampling distribution of the mean?

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Which pair of values, in the format (mean, standard deviation), correctly represents a standard normal distribution?

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histogram

Which of the following statements is correct regarding the chart above?

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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.

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If each person increased their score by 20 points, then

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The following histogram represents the distribution of acceptance rates (percent accepted) among 25 universities. 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.

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What percent of the universities have an acceptance rate below 15%?

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In a statistics class with 136 students, the professor records how much money each student has in his or her possession during the first class of the semester. The following histogram is of the data collected.

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The histogram

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