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MATH 1280-01 Introduction to Statistics - AY2025-T5

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If the Z-score for a sum of sample values is 2 for the distribution with mean of ΣX = 30 and standard deviation of ΣX = 5, the corresponding ΣX is ______.
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For a population with mean (μ) of 30 and standard deviation (σ) of 5, the mean of the sum of the sample values (ΣX) for a sample size of 50 is __.
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For a different distribution with μx=30 and σx=5, if a sample of size 25 is drawn, what is the mean of the sum of the sample values (ΣX)?
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Which of the following best describes the standard deviation of the sampling distribution of the sample means?
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What does a negative Z-score indicate about a data point in a standard normal distribution?
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The height of students in a class is normally distributed with a mean of 160 cm and a standard deviation of 10 cm. What is the probability of selecting a student shorter than 150 cm?
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Which property of normal distribution makes it symmetrical?
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What is the formula for calculating the kth percentile of a normal distribution when the Z-score is given?
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Given a normally distributed random variable X with a µ=10.5 and σ=4.2, find the 95th percentile.
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The cumulative area to the left of Z = 1 in a standard normal distribution is approximately _____.
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