The attached data contains a sample of undergraduate institutions in the US along with information about whether they are public or private schools and their yearly tuition costs. Your goal is to perform a hypothesis test to asses the claim that on average public schools cost less per year than private schools (using an α = 0.05 significance level).
TYPE | COST/YR ($) |
Public | 14434 |
Public | 10595 |
Public | 5558 |
Public | 22011 |
Public | 6499 |
Public | 14650 |
Public | 15935 |
Public | 23175 |
Public | 7640 |
Public | 4485 |
Public | 6129 |
Public | 10002 |
Public | 18218 |
Public | 10849 |
Public | 4116 |
Public | 7109 |
Private | 20585 |
Private | 18425 |
Private | 13975 |
Private | 13603 |
Private | 10744 |
Private | 26245 |
Private | 12071 |
Private | 21160 |
Private | 19114 |
Private | 23541 |
Private | 11399 |
Private | 22671 |
Private | 17091 |
Private | 11762 |
Private | 13471 |
Private | 24072 |
Private | 17173 |
Private | 10086 |
Private | 24221 |
Private | 17621 |
Private | 15569 |
Private | 32580 |
Private | 13812 |
Private | 17494 |
Private | 37606 |
Private | 14036 |
Private | 34243 |
Private | 31172 |
Private | 26602 |
Private | 6433 |
a) State the Hypotheses (5 pts) | H_0 | |
H_a | ||
b) Give the sample means, sample standard deviations, sample sizes and degrees of freedom (5 pts) | x_bar1 | |
s1 | ||
n1 | ||
x_bar2 | ||
s2 | ||
n2 | ||
df | ||
c) Calculate the test statistic (5 pts) | t |
The attached data contains a sample of undergraduate institutions in the US along with information about...
The attached data contains a sample of undergraduate institutions in the US along with information about the size of their undergraduate enrollment. Your goal is to (1) construct a confidence interval for the true population proportion of undergraduate institutions with enrollment over 1000, and (2) to perform a hypothesis test on the claim that less than half of the undergraduate institutions in the US have an enrollment over 1000 (using an α = 0.05 significance level) # OF UNDERGRADS 50...
Question 8 3 pts Small Sample Difference of Means Test. Each year Forbes puts out data on the top college and universities in the U.S. The following is a sample from the top 300 institutions in 2015. The test we will look at is the difference in the average 4-year graduation rates of private and public schools. The data are given below. We can assume equal variances. Note: I used the variances for all my calculations. 4-year graduation rates by...