Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error = 
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
Answer:
72 cans
Step-by-step explanation:
step 1
Find the number of people
we know that
She ordered 1 pizza for every 4 people
using proportion
Find out the number of people for 6 pizzas

step 2
Find the number of cans ordered
we know that
Charissa ordered 3 cans of lemonade for each person
so
using proportion
Find out the number of cans of lemonade she ordered for 24 people

I don't have a calculator with me, but that should get you going
Answer:
$292.78
Step-by-step explanation:
Add the annual interest to the loan. Then divide the total by 9 to get the monthly cost.
Answer:
0.0475
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (125 − 100) / 15
z = 1.67
Use a calculator or chart to find the probability. Using a chart:
P(Z > 1.67) = 1 − P(Z < 1.67)
P(Z > 1.67) = 1 − 0.9525
P(Z > 1.67) = 0.0475