Mathematics, 07.03.2020 04:39 david1236544

If all other factors are held constant, increasing the sample size willa. increase the estimated standard errorb. decrease the width of the confidence intervalc. increase the width of the confidence intervald. none of the above

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Answer from: Woodsydal2390

b. decrease the width of the confidence interval

True. For this case the width is given by:

$Width = 2 ME= 2 z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And if we see since we are increasing the sample size (value of n) then the margin of error would be lower and then the width of the interval will decrease

Step-by-step explanation:

If all other factors are held constant, increasing the sample size will

We can analyze the situation one by one

a. increase the estimated standard error

For this case the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}$

False, we can't increase the standard error, increasing the denominator.

b. decrease the width of the confidence interval

True. For this case the width is given by:

$Width = 2 ME= 2 z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And if we see since we are increasing the sample size (value of n) then the margin of error would be lower and then the width of the interval will decrease

c. increase the width of the confidence interval

False. For this case the width is given by:

$Width = 2 ME= 2 z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And if we see since we are increasing the sample size (value of n) then the margin of error would be lower and then the width of the interval will decrease and not increase

d. none of the above

False. Option c is correct.

Answer from: Quest

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly. ( on the x-axis, 1 on the line will possess a vertical line.)

Answer from: Quest

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.

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