Help I will give brainliest

What is pi This passage must be twenty letters long

OleMash [197]

3.1415926535897323846

4 0

4 years ago

Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students. The lo

CaHeK987 [17]

Answer:

(a) Width = 15.4866.

(b) Margin of error = 7.7433.

(c) Center = 10.8849.

(d) Sample mean = 10.8849.

(e) z = 1.96.

(f) Population standard deviation = 31.6053.

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean when the population standard deviation is known is:

$CI=\bar x\pm z_{\alpha/2}{\frac{\sigma}{\sqrt{n}}$

The 95% confidence interval for the mean hours studied for a test is (3.1416, 18.6282).

The sample taken was of size, n = 64.

(a)

Compute the width of the interval as follows:

$Width=Upper\ limit-Lower\ limit\\=18.6282-3.1416\\=15.4866$

Thus, the width of the confidence interval is 15.4866.

(b)

Compute the margin of error of the interval as follows:

$MOE=\frac{Width}{2}=\frac{15.4866}{2}=7.7433$

Thus, the margin of error of the confidence interval is 7.7433.

(c)

Compute the center of the confidence interval as follows:

$Center=\frac{Upper\ limit+Lower\ limit}{2}=\frac{18.6282+3.1416}{2}=10.8849$

Thus, the center of the confidence interval is 10.8849.

(d)

The center of a (1 - α)% confidence interval is the value of the sample statistic.

In case of the confidence interval for population mean the center of the interval is the sample mean.

The value of sample mean is 10.8849.

(e)

For a 95% confidence interval the critical value of z is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Thus, the value of z is 1.96.

(f)

Compute the value of standard deviation as follows:

$MOE=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\7.7433=1.96\times \frac{\sigma}{\sqrt{64}}\\\sigma=\frac{7.7433\times 8}{1.96}\\\sigma=31.6053$

Thus, the value of population standard deviation is 31.6053.

7 0

4 years ago

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He

LenKa [72]

Answer: Not fair

Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.

6 0

3 years ago

What - |3| math evaluate absolute value

EastWind [94]

The answer is -3, because the negative sign is outside of the absolute value. If the problem looked like this |-3|, then the answer would be 3. To clarify, your answer is -3.

7 0

3 years ago

The circular play area has a diameter of 16 ft. There is a walkway that surrounds the play area is 3' wide. What is the area of

Monica [59]

Answer: 179 sq. feet

Step-by-step explanation:

brainly.com/question/11852368#readmore

5 0

3 years ago