Please answer these questions and put them in a readable format (ex. 1a, 1b, 2a, 2b, etc...). No explanation needed. Only fix the incorrect answer.

1.

b. What is the degrees of freedom for the 75 distribution (round the answer to the previous whole number)? Consider the following results for independent random samples taken from two populations. Sample 1 m = 10 51 = 22.8 .91 = 2.1 Sample 2 m = 40 52 = 20.3 52 = 4.6 a. What is the point estimate of the difference between the two population means (to 1 decimal)? 2.5 Q0 90 c. At 95% confidence, what is the margin of error (to 1 decimal)? ( 2.2 0 .3 0, 4.7 0) Hint(s) Check My Work d. What is the 95% confidence interval for the difference between the two population means (to 1 decimal and enter negative value as negative number)? Hint(s) Check My Work Consider the following hypothesis test. H0 1 #1 * H2 = 0 Ha 3 #1 #2 75 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 2 35 n; = 40 51 = 13.6 E; = 10.1 .91 =5.7 52 = 8.6 a. What is the value of the test statistic (to 2 decimals)? 2.1 60 b. What is the degrees of freedom for the 73 distribution (round the answer to the previous whole number)? 340 c. What is the p-value? Use Table 2 from Appendix B. The area in the upper tail is between 0.01 and 0.025 v w ; twotailed pvalue is between 0.02 and 0.05 v M. d. At a = 0.05, what is your conclusion? pvalue is I less than or equal to 0.05, reject V, w Ho Consider the following data for two independent random samples taken from two normal populations. Excel File: data10-11.xIsx Sample 1 10 7 13 7 9 8 Sample 2 8 7 8 4 6 9 a. Compute the two sample means. (to nearest whole number) X 1 = 9 C2 = b. Compute the two sample standard deviations. (to 2 decimals) S1 = 2.28 $2 1.79 c. What is the point estimate of the difference between the two population means? 2 d. What is the 90% confidence interval estimate of the difference between the two population means? (to 2 decimals and enter negative value as negative number) -.38 4.38\fThe increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars. Click on the datafile logo to reference the data. Round degrees of freedom to the preceding whole number. DATAr Private Colleges 52.8 43.2 45.0 33.3 44.0 30.6 45.8 37.8 50.5 42.0 Public Colleges 20.3 22.0 28.2 15.6 24.1 28.5 22.8 25.8 18.5 25.6 14.4 21.8 3. Compute the sample mean and sample standard deviation for private and public colleges. Round your answers to two decimal places. 51 = 42.5 Q0 52 = 22.30 Q0 6.98 \\'9 S2 = 4.53 M ,9: II b. What is the point estimate of the difference between the two population means? Round your answer to one decimal place. 20.2 K10 Interpret this value in terms of the annual cost of attending private and public colleges. $ 20200 \\'0 c. Develop a 95% condence interval of the difference between the mean annual cost of attending private and public colleges. 95% confidence interval, private colleges have a population mean annual cost $ 14400 0 to $ 26000 0 more expensive than public colleges. \fThe College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads High School Grads 432 608 576 420 672 592 468 468 640 608 432 552 480 464 420 588 592 608 564 384 432 672 540 468 512 432 576 624 a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. #1 = population mean verbal score parents college grads. #2 2 population mean verbal score parents high school grads. Hamill\"90 HailtlK'QO b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) 69 M points M if parents are college grads. c. Compute the pvalue for the hypothesis test. t-value 2.326 M (to 3 decimals) Degrees of freedom 11 0 (round your answer to next whole number) pvalue is between 0.01 and 0.025 v w d. At a = 0.05, what is your conclusion? We 9 Ho- The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is ontime arrival. The file LateFlights contains a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Delta and Southwest. Click on the datafile logo to reference the data. DATAF Delta Southwest Delta Southwest Delta Southwest Delta Southwest Delta 116 42 6 77 146 113 148 25 126 68 1 14 7 91 1 12 67 49 92 31 149 128 78 111 12 134 139 139 11 124 91 18 34 51 17 5 106 65 62 126 26 116 17 109 141 70 12 a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. u1 = population mean minutes late for delayed Delta flights U2 = population mean minutes late for delayed Southwest flights Ho : M1 - /2 Ha : M1 - M2 # b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? Sample mean for Delta = 68.76 (rounded to 2 decimals) Sample mean for Southwest = 90.10 (rounded to 2 decimals) c. Using a 0.05 level of significance, what is the p-value and what is your conclusion? df = 19 (rounded down to nearest whole number) p-value = .1336 ( rounded to 4 decimals) We cannot reject Ho.\fThe Tippie College of Business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors 10.1 = 105 n; = 40 51 = $48,800 52 = $55,300 .51 = $20,000 .92 = $13,500 a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use a = 0.05. HoiulM_w0 Hawuwo b. What is the value of the test statistic? Enter negative value as a negative number, if any. -2.25 M (rounded to 2 decimals) c. What is the p-value? df = 39 0 (rounded down to nearest whole number) pvalue = .015 0 (rounded to 3 decimals) d. What is your conclusion? We 9 that the salaries of Finance majors are lower than the salaries of Business Analytics majors