Answer:
12.5
Step-by-step explanation:
First, we look at the multiplication. 0.5*5 would equal 2.5. Then we would subtract that from 15. 12.5!
Answer:
Two diameters that separate the top 7% and the bottom 7% are 5.15 and 5.03 respectively.
Step-by-step explanation:
We are given that the lengths of nails produced in a factory are normally distributed with a mean of 5.09 centimeters and a standard deviation of 0.04 centimeters.
Let X = lengths of nails produced in a factory
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean
= standard deviation
Now, we have to find the two lengths that separate the top 7% and the bottom 7%.
- Firstly, Probability that the diameter separate the top 7% is given by;
P(X > x) = 0.07
P( > ) = 0.07
P(Z > ) = 0.07
So, the critical value of x in z table which separate the top 9% is given as 1.4996, which means;
= 1.4996
= 5.09 + 0.059984 = 5.15
- Secondly, Probability that the diameter separate the bottom 7% is given by;
P(X < x) = 0.07
P( < ) = 0.07
P(Z < ) = 0.07
So, the critical value of x in z table which separate the bottom 9% is given as -1.4996, which means;
= -1.4996
= 5.09 - 0.059984 = 5.03
Therefore, the two diameters that separate the top 7% and the bottom 7% are 5.15 and 5.03 respectively.
2!
Merry Christmas thank you!