Answer:
The probability that their mean length is less than 11.2 inches is 0.5987
Step-by-step explanation:
Mean = 10.9 inches
Standard deviation = 1.2 inches
We are supposed to find If 25 items are chosen at random, what is the probability that their mean length is less than 11.2 inches
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
We are supposed to find P(x<11.2)
[tex]Z=\frac{11.2-10.9}{1.2}[/tex]
[tex]Z=0.25[/tex]
Refer the z table for p value
p value = 0.5987
Hence the probability that their mean length is less than 11.2 inches is 0.5987
