contestada

The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.4
grams. The weight of a randomly selected pack of gum has a z-score of 3.11. Which of the following statements is the
best interpretation of the z-score?
O The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations.
O The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.
O The weight of this pack of gum is lighter than the mean weight by 2.4 standard deviations.
O The weight of this pack of gum is heavier than the mean weight by 2.4 standard deviations.
O

Respuesta :

A Z-score helps us to understand how far is the data from the mean. The correct option is B.

What is Z-score?

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The weight of a randomly selected pack of gum has a z-score of 3.11. Therefore, The weight of this pack of gum is heavier than the mean weight by 3.11 standard deviations.

Hence, the correct option is B.

Learn more about Z-score:

https://brainly.com/question/13299273

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