Consider a sampling distribution with p = 0.14 and samples of size n each. using the appropriate formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion. a. for a random sample of size n = 5000. b. for a random sample of size n = 1000. c. for a random sample of size n = 250. a. the mean is 0.14. the standard deviation is 0.0049. (round to four decimal places as needed.) b. the mean is 0.14. the standard deviation is 0.0110. (round to four decimal places as needed.) c. the mean is 0.14. the standard deviation is 0.0219. (round to four decimal places as needed.) summarize the effect of the sample size on the size of the standard deviation. a. as the sample size gets smaller, the standard deviation gets smaller. b. as the sample size gets larger, the standard deviation gets smaller. your answer is correct. c. standard deviation does not depend on the size of the sample.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

b if for most of the graph

d if y intercept

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

the answer to this is a. a^2 + b^2 = c^2