The brain volumes (cm) of 20 brains have a mean of 1191.4 cm and a standard deviation of 121.6 cmn. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1464.6 cm be significantly high? Significantly low values are cm or lower. (Type an integer or a decimal. Do not round.) Significantly high values are cm or higher. (Type an integer or a decimal. Do not round.) s 1464.6 cm significantly high? OA. Yes, because it is above the upper limit separating value.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
From provided information, brain volumes of 20 brains have mean as 1191.4 cm3 and standard deviation as 121.6 cm3.
n=20,
µ=1191.4
σ=121.6
The range rule of thumb states that, usual values lies within 2 standard deviations from the mean.
Significantly low value can be calculated as: µ-2σ
Significantly high value can be calculated as: µ+2σ
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