Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.

Type 1 Error (A)

Type 2 Error (B)

Step-by-step explanation:

The Null Hypothesis is that the Passenger is Carrying a Weapon.

A type I error is the rejection of a true null hypothesis.

The type 1 error here is that :

(A)You allow the passenger to board his flight when the passenger has a weapon.

The security personnel has rejected the true null hypothesis and proceeded to do otherwise.

A type II error is the non-rejection of a false null hypothesis. The type II error is:

(B)You select the passenger for further inspection when the passenger has no weapon.

In this case, the null hypothesis is false but the security screener has rejected the false null hypothesis.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl