Chapter 13.7, Problem 10PPS

To determine

The sampling of students who have the flu of the school is valid or not and their numbers out of $464$ students is to be calculated.

Answer to Problem 10PPS

Yes. The sampling method is valid. $116$ Flu students attend the class out of $464$ students.

Explanation of Solution

Given:

  $\begin{array}{l}X=7\\ Y=28\\ N=464\end{array}$

Concept Used:

The method to choose sample or each member of the subset which has the equal value of probability of being chosen in a statistical population subset is known as a simple random sample.

Calculation:

The sampling of students is valid. In this problem there is use of simple random sample which is a type of the unbiased sample because here from the $28$ students of math class $7$ students have flu.

Number of students who have flu and attend the school out of $464$ students are calculated as:

  $\begin{array}{l}{N}_f=\frac{X}{Y}\times N\\ N_f=\frac{7}{28}\times 464\\ N_f=116\end{array}$

Conclusion:

Hence,number of students who have flu and attend the school out of $464$ students are $N_f=116$ .