Z-score test

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decimal rounded to the fourth decimal place.

Correct answer:

p =  0.673

Step-by-step explanation:

μ=11 lb σ=6 lb  n=4 s=σ/n=6/4=3 lb  z=sXμ x1=8.6 lb x2=14.6 lb  z1=sx1μ=38.611=54=0.8 z2=sx2μ=314.611=56=151=1.2  p1=N(z<z1) p1=0.2119 p2=N(z<z2) p2=0.8849  p=p2p1=0.88490.2119=1000673=0.673



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 1 comment:




Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: