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
