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The average annaal cest (ecluding tution, room, board, books and fees) to atend a public college takes nearly a third of the arnual inceme ef a typical family with college-age children (Money, Aori 2012). At private colleges, the average annual cost equal to about 60% of the 12. typeal familys ncome. The fallowing random samoes show ee rmai t of attencing poate and pubie colege, Ota 13. ar inthousands of dollars. Click on the webfhile logo to reference the data 15 0 Private Colg 528 43.2 450 333 40 306 45.8 378 505 42. 18 C Public Collges 203 22.0 282 156 24.12 228 8 I8S256 144 21.8 20. C a. Compute the sample mean and sample standard deviation for privabe and public coleges Roand your answers to two decimal places 56.98 5-4.53 b. What is the point estimate of the dfference between the two population means? Round your answer to one decimal place 20.2 Interpret this value in terms of the annual cost of attending private and public olleges 20200 c. Devno a 95% confidence nterval e, the dinererce between me anul 95% cor de ce interval p vane colleges have a poplaten mean annal- of atte ang-im. and ,ube tell- 14., o.e n , O-r..penwe ran el angel
A market research 8rm used a sample of individuals to race the purchase potercial of a partiodar product before and amer the individuals sow a new television commercial about the product. The purchane potential ratings were besed on s 0 to 10 scale, with higher values indicating a higher purchase potential The ul hypethesis stated that the mean rating after wouid be less than or equal to the mean rating before. Rejection et this hypothesis would show that the commercial improved the mean purchase potental ratng, use e-.05 and ย felowing data to test the hypeeasis and con ent on Purchase Rating Punchase Rating Individual After Betore Individual After Before wiat sre the hypotheses? b. Compute d (to 3 decimals) Compute d (to l deon c what is the p-vaue The p-vaue is betwesn 10 and 20 d. What is your decision?
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