A chef asks for your advice given that you are a student of business statistics. He tells you that it takes approximately a normally distributed mean of 35 minutes and a standard deviation of 2 minutes to cook a spaguetti and meatball meal. Convert 31 minutes into a z-score given the Z-score formula.

Respuesta :

Answer:  -2

Step-by-step explanation:

Given : A chef asks for your advice given that you are a student of business statistics.

He tells you that it takes approximately a normally distributed .[tex]\mu=35[/tex] and [tex]\sigma= 2[/tex] to cook a spaguetti and meatball meal.

Let x be a random variable that represents the time to cook a spaguetti and meatball meal.

Using the formula , [tex]z=\dfrac{x-\mu}{\sigma}[/tex] the value of z for x= 31 we get

[tex]z=\dfrac{31-35}{2}=-2[/tex]

Hence, the z-score for 31 minutes = -2