I need help with the following questions

Which of the following is a benefit of increasing the sample size when trying to estimate the mean from a sample average?

andrezito [222]

Answer:

Step-by-step explanation:

The larger the sample size, the lower the standard deviation. The standard deviation shows how the data is spread from the mean. Therefore, benefit of increasing the sample size when trying to estimate the mean from a sample average are

a. A reduction in the bias of the estimate.

b. A reduction in the variability of the estimate.

The width of confidence interval is determined by the margin of error

Margin of error = z × s/√n

A smaller standard deviation and increased size would result to a narrower confidence interval. Therefore, increasing the sample size does not result to an increase in the width of the resulting confidence interval.

3 0

3 years ago

Find the solution(s) to (x-3)^2=49. Check all that apply

Natasha_Volkova [10]

Answer:

B. x = -4

E. x = 10

Step-by-step explanation:

$(x-3)^2=49 \\ \\ x - 3 = \pm \sqrt{49} \\ \\ x - 3 = \pm 7 \\ \\ x = 3 \pm 7 \\ \\ x = 3 + 7, \: \: x = 3 - 7, \\ \\ x = 10, \: \: x = - 4$

8 0

3 years ago

Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis

Lesechka [4]

Answer:

The limit of the function does not exists.

Step-by-step explanation:

From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.

For x<2

$f(x)=6$