Surprisingly, a study found that children under stress reported fewer symptoms of depression and anxiety but scored higher on a Lie Scale (a measure of tendency to give socially desirable responses). The population mean for the Lie Scale for nonstressed children is 3.8. A sample of 40 children under stress had a Lie Scale sample mean of 4.4, with a standard deviation of 2.5. Test the hypothesis that children under stress are more likely to give socially desirable answers. Write a complete conclusion in the context of the problem.

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: