To solve this problem, we make use of the z statistic.
What we have to do here is to find for the z score using the given data and
from the standard probability tables for z, we locate the proportion of the
fish longer than 12 inches.
The formula for calculating the z score is:
z = (x – μ) / σ
where,
x = the sample value = 12 inches
μ = the sample mean = 11 inches
σ = 2 inches
so,
z = (12 – 11) / 2
z = 1 / 2
z = 0.5
Since we are looking for the values greater than 12, so
this is a right tailed test. Using the tables, the value of p at this value of
z is:
p (z = 0.5) = 0.3085
Therefore there is a 30.85% probability that the fish is
longer than 12 inches.
Step-by-step explanation:
<u>13,789:</u>
Tens: 13,790
Hundreds: 13,800
Thousands: 14,000
Ten thousands: 10,000
<u>24,173:</u>
Tens: 24,170
Hundreds: 24,200
Thousands: 24,000
Ten thousands: 20,000
<u>861,630:</u>
Tens: 861,630
Hundreds: 861,600
Thousands: 862,000
Ten thousands: 860,000
Check the picture below. Recall your SOH CAH TOA.
I'll just take the points thanks XD
