The weight of a bag of brand a cookies is labeled as 4 ounces on the bag. however, the

actual weights of the bags vary by a small amount. according to the package

specifications, the weights are approximately normally distributed with a mean of 4. 10

ounces and a standard deviation of 0. 10 ounce.

Respuesta :

The bag weight is 1.5 standard deviation below the mean value. Standard deviation is found with the help of variance.

What is standard deviation ?

The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.

The mean value is 4.10 ounce

Standard deviation= 0.10 ounce

The formula for the standard deviation is found as;

[tex]\rm Z= \frac{x-\mu}{\sigma} \\\\ Z= \frac{3.95-4.10}{0.10} Z=\frac{-0.15}{0.10} \\\\ Z=-1.5[/tex]

Hence, the bag weight is 1.5 standard deviation below the mean value.

To learn more about standard deviation, refer to the link;

https://brainly.com/question/16555520

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