A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment. a. Trueb. False

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

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