1)True or false? Why? a)The bigger the sample size, the more accurate the reported average of the sample.

b)Type I error is when we accept a false null hypothesis

c)A maintained hypothesis that is considered to be true unless sufficient evidence to the contrary is obtained is called the null hypothesis

Step-by-step explanation:

a) it is true that the bigger the sample size, the more accurate the reported average of the sample. An increased sample size gives a smaller standard deviation. This improves accuracy.

b) It is false. A type 1 error occurs when a true null hypothesis is rejected

c) It is true. The null hypothesis is considered true until the alternative hypothesis which is contrary is favoured by sufficient evidence.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99