Hypothesis Testing for College Tuition Cost D) Calculate the mean and standard deviation of your data set. You may use technology such as Google Sheets, Excel, or a TI-83/TI-84. Round to the nearest hundredth. In this assignment, you will be using inferential statistics to determine if a claim about college tuition cost is accurate. Standard Deviation According to the College Board's website, the average tuition cost per year for a public four- year college (in-state cost) is $10,230. Mean A) Assume that you disagree with the claim. Do you think the average tuition cost is higher? Or lower? E) Using a significance level a = 0.05, find the critical value using the following steps. 1. What are the degrees of freedom? B) Using your answer in part A, write a set of hypotheses (null hypothesis and alternative hypothesis) to represent that claim and its complement. Replace the ?s below with the appropriate inequality signs (<,s,>,2). Highlight the hypothesis that represents your d.f.=n-1 claim. 2. Will this be a one-tailed or two tailed test? He:u ?$10,230 H:u?$10,230 C Gather data for tuition cost of 20 different universities. Assume the data you gather is normally distributed. 3. Using table 5 from the back of your textbook (page A18 in Appendix B), what is the critical value? How to Create your data set: Follow the directions to fill in the table below with 20 college's tuition costs. Navigate to https www.collegetuitioncompare.com/comparetables! • In the drop down menus, ONLY select School Type as "Public School and School Level as "4 year or higher." Leave the rest of the drop down menus as is. Then select "update. Scroll down to the bottom of the list and for "Number of schools to show," select "All." • The list given will be in alphabetical order. You will be selecting 20 college tuition costs from this list. Do NOT just use the first 20 entries or even 20 consecutive entries. You will need to randomly select 20 entries trom the entire list. Try to make sure you have a good range of tuition costs as well • Write the tuition cost from the first column, "Tuition & Fees / In-State" for that college in the table below. F) Add the critical values to the graph below and shade the rejection region. (Special Instruction: For this part, it is recommended that you do this by hand. You can print out this page and use the image below as a template to write on or you can create a handwritten normal curve. Take a photo of your graph and replace the image below with it. If you need any technical assistance with this process, please email Waldorf's tech support.) 3,565 $7.290 $7.409 $11,068 $10,299 $8,315 $3,950 $9.672 इबे 924 $10,958 $7,396 $6,946 $6,834 $11,108 $14,812 511,068 $8.273 $10,904 3,120 $11,149