Question

My project has to do with the average tuition for in-state students per semester and the proportion of western states that pay less than $5000 for tuition. Western states include Alaska, Arizona, California, Colorado, Hawaii, Idaho, Montana, Nevada, New Mexico, Oregon, Utah, Washington and Wyoming. I need help with the best method of graphing this and how to create the confidence intervals for 95% for BOTH the average tuition for in state students AND the proportion of western states that pay less than $5000. What test would I use for the confidence intervals and what distribution do I use? (T-test, Z-test, etc)

Here is the data:

STATE IN STATE TUITION STATE IN STATE TUITION STATE IN STATE TUITIO N STATE IN STATE TUITION Alaska 7443 Alabama 6719 land 6434 Oklahoma 5987 Arizona 4553 Arkansas 4746 Maine 6722 Pennsylvania 11416 California Connecticut 7988 Michigan Rhode Island 9210 3084 6716 Colorado 6799 Minnesota South Carolina 7906 Delaware 8817 8004 Hawaii 4928 Florida Missouri 5492 South Dakota 9149 3853 Georgia Idaho 5352 4507 Mississippi 4416 6336 4684 Montana 5217 Iowa 5893 North Carolina 3343 Texas Illinois Virginia Nevada 5338 North Dakota 6608 8317 4823 New Mexico Indiana Nebraska 5258 Vermont 12978 3162 8040 10231 Oregon Kansas 4696 New Hampshire Wisconsin 6189 6504 6069 Utah Kentuck 6190 New 8419 West Virginia 5977 5345 6788 Washington Louisiana 6353 New York Ohio Massachusetts 8350 6374 3468

Answer 1

for first question

that is to find the confidence interval of mean

use t-test as population standard deviation is not known

following is formula for confidence interval

Confidence If č and s are the mean and standard deviation of a random sample from a normal population with unknown variance σ. a 100(1 a)% confidence interval for μ is Interval on μ, σ2 Unknown where ta/2 is the t-value with v a/2 to the right n - 1 degrees of freedom, leaving an area of

For 2nd question

use z-test for one proportion

p^ =X/n

n is sample size

X is number of states where tuition fee is less than $5000

formula for confidence interval

Large-Sample Confidence Intervals for p If p is the proportion of successes in a random sample of size n and q-1-p, an approximate 100(1-a)% confidence interval, for the binomial parameter p is given by (method 1) TL