Researchers working for a certain airline are investigating the weight of carry-on bags. The researchers will use the mean weight of a random sample of 1,300 carry-on bags to estimate the mean weight of all carry-on bags for the airline. Which of the following best describes the effect on the bias and the variance of the estimator if the researchers increase the sample size to 800? a. The bias will decrease and the variance will remain the same.
b. The bias will increase and the variance will remain the same.
c. The bias will remain the same and the variance will decrease.
d. The bias will remain the same and the variance will increase.
e. The bias will decrease and the variance will decrease.

d. The bias will remain the same and the variance will increase.

Step-by-step explanation:

Sample size and bias:

800 is still a large sample size, so the bias will remain the same.

Variance:

From a data set of size n with mean M, the variance is given by:

So as we decrease the sample size, variance increases.

So the correct answer is given by option d.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

i believe the answer is the polygon, heptagon.