Question

We believe that 81% of the population of all Business Statistics I students consider statistics to be an exciting subject. Suppose we randomly and independently selected 39 students from the population. What is the standard deviation of the number of students who consider statistics to be an exciting subject? Use 2 decimal places.

Answer 1

Answer: 2.45

Step-by-step explanation:

Formula to find standard deviation:

$\sigma=\sqrt{np(1-p)}$

Given : The proportion of the population of all Business Statistics I students consider statistics to be an exciting subject : p= 0.81

Sample size of randomly selected students from the entire population : n=39

Then , the standard deviation of the number of students who consider statistics to be an exciting subject =$\sqrt{39(0.81)(1-0.81)}$

=$\sqrt{39(0.81)(0.19)}\\\\=\sqrt{6.0021}\approx2.45$

Hence, the standard deviation of the number of students who consider statistics to be an exciting subject= 2.45