please help me ! I am so confused!

In a recent report, Trends in College Pricing, researchers at the CollegeBoard stated that the national

average cost for 2019 - 2020 undergraduate tuition and fees at four-year private colleges/universities

is $36,880. As of May 16, 2020, approximately 37% of the Classical High School Class 0f 2020 will

be attending four-year private colleges in New England. The mean Consumer Price Index (CPI) is

approximately 5% higher in New England than the national CPI mean. Therefore, is the mean annual

cost for 2019 - 2020 undergraduate tuition and fees at four-year private New England

colleges/universities different than the national mean of $36,880?

Part I:

For this investigative study, you have been provided with a list of 113 f0ur-year private New England

colleges/universities and their annual 2019 -2020 tuition and fees. Using the "RandInt" generator on

your graphing calculator, you are to randomly select 15 colleges from the list. Does your data provide

convincing evidence at the significance level that the average tuition and fees at four-year

private New England colleges/universities differs from the national annual tuition and fees average of

$36,880? (For "Assessing Conditions", use the Independence condition in place of the 10%

condition.) Include a list of your data in the analysis.

Part II:

Construct and interpret a 95% confidence interval for the true mean 2019 - 2020 tuition and fees cost

for four-year private New England colleges/universities. Explain why the interval is consistent with

the significance test conducted in Part I. What additional information does the interval provide that

the significance test does not?

Part III:

Given your conclusion in Part I, which kind of mistake - a Type I error or a Type II error - could you

have made? Explain what this mistake means in context.

Babson College$52,608

Bard College at Simon's Rock$56,901

Bates College$55,683

Bay Path University$35,081

Bay State College$23,500

Beal College$23,500

Becker College$40,150

Bennington College$55,950

Bentley University$51,830

Eastern Nazarene College$26,568

Emerson College$49,432

Emmanuel College$41,448

Endicott College$34,200

Fairfield University$49,830

Fisher College$31,992

Saint Anselm College$41,800

Saint Joseph's College of Maine$36,720

Saint Michael's College$47,045

Salve Regina University$41,450

Simmons College$42,070

Smith College$54,224

Southern New Hampshire University$31,136

Southern Vermont College$25,511

Springfield College$39,305

Sterling College$39,020

Stonehill College$44,420