Question

The Ice Chalet offers dozens of different beginning iceskating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Calculate the following:

a. x = _______

b. n = _______

c. p′ = _______

Short answer

1. The value of $x=64$.
2. The value of the $n=80$.
3. The value of$P^{\mathrm{\prime }}=0.8$.

Step-by-step solution

Given information (Part a)

There are 64 girls and 16 boys in a ice skating class.

We have to calculate the value of $x$

Solution (Part a)

There are total 64 girls in the ice skating class.

The all girls are with the age of $8$to $12$

Therefore the value$x=64$.

Given information (Part b)

There are 64 girls and 16 boys in a ice skating class.

We have to find the value of$n$.

Solution (Part b)

The number of students for the ice-skating class is :

$64+16=80$

Therefore the $n=80$

Given information(Part c)

There are 64 girls and 16 boys in a ice skating class.

We have to find$p\text{'}$

Solution (Part c)

Let's consider the number of girls with ages $8$to $12$in the ice skating classes:

It is $64$.

The total number of the students$=80$

Now, we can compute the population proportion as follow:

$P^{\mathrm{\prime }}=\frac{64}{80}$

$P^{\mathrm{\prime }}=0.8$