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HBX Core Business Analytics - Full Study Guide Solutions

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HBX Core Business Analytics - Full Study Guide Solutions Skewness - ANSWER-Skewness measures the degree of a graph's asymmetry. If the right tail is longer, we say the distribution is skewed to the right or "right-tailed." Likewise, if the left tail is longer, we say the distribution is skewed ...

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  • October 30, 2024
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HBX Core Business Analytics - Full Study

Guide Solutions


Skewness - ANSWER✔✔-Skewness measures the degree of a graph's asymmetry. If the right tail is

longer, we say the distribution is skewed to the right or "right-tailed." Likewise, if the left tail is longer, we

say the distribution is skewed to the left or "left-tailed."


Rules of thumb for the normal distribution - ANSWER✔✔-About 68% of the probability is contained in

the range reaching one standard deviation away from the mean on either side:


P(μ−σ≤x≤μ+σ)≈68%




About 95% of the probability is contained in the range reaching two standard deviations (1.96 to be

exact) away from the mean on either side:


P(μ−2σ≤x≤μ+2σ)≈95%




We'll use two standard deviations when discussing the normal distribution conceptually, but we will

always use 1.96 for actual calculations in Excel.

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FIRST PUBLISH OCTOBER 2024




About 99.7% of the probability is contained in the range reaching three standard deviations away from

the mean on either side:


P(μ−3σ≤x≤μ+3σ)≈99.7%


Bias - ANSWER✔✔-avoid biased results by


- phrasing questions neutrally


-ensuring that the sampling method is appropriate for the demographic of the target population


-pursuing a high response rate


Normal Distribution - ANSWER✔✔-a unique symmetrical shape whose centre and width are determined

by its mean and standard deviation respectively.


z-value - ANSWER✔✔-the distance that x lies from the mean, measured in standard deviations.


Central Limit Theorem - ANSWER✔✔-If we take enough sufficiently large samples from any population,

the means of those samples will be normally distributed regardless of the shape of the underlying

population.


Confidence interval - ANSWER✔✔-An estimate of the range in which the true population mean likely

lies.


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