jpomares2003
contestada

5) 1
4) The prices of various cereal boxes is normally
distributed with a standard deviation of 0.5. If a
box of Lucky Charms sells for $4.29 and has a z-
score of 1.6, what is the mean price of a box of
cereal?

Respuesta :

opudodennis

Answer:

$3.49

Step-by-step explanation:

-The z value is calculated by the formula:

[tex]z=\frac{\bar x -\mu}{\sigma}[/tex]

Where [tex]\mu, \sigma[/tex] are the mean and standard deviation respectively and [tex]\bar x[/tex] is the price of the random selection.

#We substitute and solve for [tex]\mu[/tex]:

[tex]z=\frac{\bar x -\mu}{\sigma}\\\\1.6=\frac{4.29-\mu}{0.5}\\\\0.8=4.29-\mu\\\\\mu=3.49[/tex]

Hence, the mean price of a box of cereal is $3.49