Complete Question
The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why?
1 Supplier A, as their standard deviation is higher and, thus easier to fit into our production line
2 Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line
3 supplier B, as their standard deviation is lower and, thus, easier to fit into our production line
4 Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line
Answer:
Option 3 is correct
Explanation:
From the question we are told that
The standard deviation of A is
![\sigma_a = 0.4582](https://img.qammunity.org/2021/formulas/mathematics/college/aqdouomtpmv1j7jm7ozrxuw89gkwxdxye2.png)
The standard deviation of B is
![\sigma _b = 0.3358](https://img.qammunity.org/2021/formulas/mathematics/college/4vecihycmyvg8h1ps4zq64p7hfrqhz29ha.png)
Generally standard deviation defines the deviation element of a data set with respect to the mean of the set
So sample it mean that samples from A deviates more from it mean(the standard value) than the samples from B so the best supplier to chose is B