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Please answer these questions and put them in a readable format (ex. 1a, 1b, 2a, 2b, etc...). No explanation needed. 1. Exercise 10.09 Algo (lnferences
Please answer these questions and put them in a readable format (ex. 1a, 1b, 2a, 2b, etc...). No explanation needed.
1.
Exercise 10.09 Algo (lnferences About the Difference Between Two Population Means: Sigmas Unknown) Question 1 O\" ' Hint(s) Check My Work Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2 m = 10 m = 40 El = 22.8 52 = 20.3 .91 = 2.1 .92 = 4.6 a. What is the point estimate of the difference between the two population means (to 1 decimal)? b. What is the degrees of freedom for the 75 distribution (round the answer to the previous whole number)? c. At 95% confidence, what is the margin of error (to 1 decimal)? 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)? ( i ) Exercise 10.10 Algo (lnferences About the Difference Between Two Population Means: Sigmas Unknown) ' (31195th 2 0f9 ' Hint(s) Check My Work Consider the following hypothesis test. Ho 2 M1 M2 = 0 Ha 3 #1 _ #2 7 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 2 35 n; = 40 51 = 13.6 52 = 10.1 5'1 = 5.7 52 = 8.6 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the 75 distribution (round the answer to the previous whole number)? c. What is the p-value? Use Table 2 from Appendix B. The area in the upper tail is - Select your answer - v ; twotailed pvalue is - Select your answer- v . d. At a = 0.05, what is your conclusion? p-Value is - Select your answer - v H0 Exercise 10.10 Algo (Inferences About the Difference Between Two Population Means: Sigmas Unknown) Question 2 CW ' Hint(s) Check My Work Consider the following hypothesis test. Ho 1 #1 i #2 = 0 Ha 3 #1 _ #2 7 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 TL] = 35 m = 40 E1 = 13.6 52 = 10.1 31 = 5.7 52 = 8.6 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the t distribution (round the answer to the previous whole number)? c. What is the pvalue? Use Table 2 from Appendix B. The area in the upper tail is '/ Select your answer 1 ; twotailed pvalue is . . less than 0.005 d. At a = 0.05, what IS yOI . between 0005 and 0.01 pvalue IS - Select your ans between 001 and 0.025 between 0025 and 005 between 005 and 010 between 010 and 020 Hint(s) Check My Work greater than 0.20 Exercise 10.10 Algo (Inferences About the Difference Between Two Population Means: Sigmas Unknown) Question 2 O\" ' Hint(s) Check My Work Consider the following hypothesis test. Ho 1 #1 i #2 = 0 He 3 #1 _ #2 7 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 m = 35 m = 40 51 = 13.6 52 = 10.1 31 = 5.7 52 =86 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the t distribution (round the answer to the previous whole number)? c. What is the pvalue? Use Table 2 from Appendix B. The area in the upper tail is ; twotailed pvalue i: J Select your answer Z] . . . less than 0.005 d. At a = 0.05, what IS your conclusnon? _ between 001 and 0.02 between 002 and 005 between 005 and 010 between 010 and 020 between 020 and 040 Hint(s) Check M: greater than 0.40 Exercise 10.10 Algo (lnferences About the Difference Between Two Population Means: Sigmas Unknown) ' QueStiOn 2 0f9 ' Hint(s) Check My Work Consider the following hypothesis test. Ho 1 #1 i #2 = 0 H3 3 #1 M2 75 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 2 35 m = 40 E1 = 13.6 52 = 10.1 81 = 5.7 52 =8.6 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the 75 distribution (round the answer to the previous whole number)? c. What is the pvalue? Use Table 2 from Appendix B. The area in the upper tail is - Select your answer - v ; two-tailed p-value is - Select your answer- v . d. At a = 0.05, what is your conclusion? p_=3Ho greater than or equal to 0.05, reject greater than 0.05, do not reject less than or equal to 0.05, reject Hint(s) Check My Work less than 0.05, do not reject equal to 0.05, reject 0* Icon K! not equal to 0.05, reject Exercise 10.11 (Inferences About the Difference Between Two Population Means: Sigmas Unknown) Question 3 of 9 Hint(s) Check My Work 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) X1 = x 2 = b. Compute the two sample standard deviations. (to 2 decimals) $2 = c. What is the point estimate of the difference between the two population means? 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)Exercise 10.12 Algo (lnferences About the Difference Between Two Population Means: Sigmas Unknown) ' QUIEStiOn 4 0f9 ' Hint(s) Check My Work The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 60 Buffalo residents the mean is 22.4 miles a clay and the standard deviation is 8.3 miles a day, and for an independent random sample of 40 Boston residents the mean is 18.2 miles a day and the standard deviation is 7.9 miles a day. Round your answers to one decimal place. a. What is the point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residents travel per day? b. What is the 95% confidence interval for the difference between the two population means? to Hint(s) Check My Work 0-; Icon Key The 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. .721: 5'3 NI II 0 || 52: b. What is the point estimate of the difference between the two population means? Round your answer to one decimal place. Interpret this value in terms of the annual cost of attending private and public colleges. $ 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 $ to $ more expensive than public colleges. A B Private Public 52.8 20.3 43.2 22.0 45.0 28.2 ( 0 0 0 " ON OF A W N - 33.3 15.6 44.0 24.1 30.6 28.5 45.8 22.8 37.8 25.8 10 50.5 18.5 11 42.0 25.6 12 14.4 13 21.8The 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. 1.1.1 2 population mean verbal score parents college grads. [1.2 = population mean verbal score parents high school grads. H. =m a... 0 Ha : pl 7 #2 - Select your answer- v 0 b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) points - Select your answer - v if pa rents are college grads. The 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. [1.1 = population mean verbal score parents college grads. #2 = population mean verbal score parents high school grads. Ho=mmao 30 b. What is the s 'ference between the means for the two populations? (to 1 decimal) poi 2 E] if parents are college grads. c. Compute ti 1 esis test. The 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 432 608 576 420 672 592 468 468 640 608 432 552 480 454 420 588 592 608 564 384 432 672 540 468 512 432 576 624 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. [1.1 = population mean verbal score parents college grads. 1.1.2 2 population mean verbal score parents high school grads. manna0 Ha : M1 7 [1.2 'l - Select your answer - 30 b. What is the poi S 2] if parents are college grads. c. Compute tl' 2 esis test. t-value 1 to 3 decimals) The 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 432 608 576 420 672 592 468 468 640 608 432 552 480 454 420 588 592 608 564 384 432 672 540 468 512 432 576 624 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. [1.1 = population mean verbal score parents college grads. 1.1.2 2 population mean verbal score parents high school grads. H0 : pl 7 p2 - Select your answer- v 0 H. .,.. , . 0 b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal) point: :] if parents are college grads. c. Compute the lower is test. higher t-value v (to 3 decimals) c. Compute the pvalue for the hypothesis test. t-value (to 3 decimals) Degrees of freedom (round your answer to next whole number) p-value is - Select your answer - V d. At a = 0.05, what is your conclusion? We - Select your answer - V reject H0 . c. Compute the pvalue for the hypothesis test. t-value Degrees of freedom pvalue i! \\/ Select your answer lower than 0.005 between 0.005 and 0.01 We E between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 between 0.10 and 0.20 d.Ata= greater than 0.20 (to 3 decimals) (round your answer to next whole number) Hint(s) Check My Work c. Compute the pvalue for the hypothesis test. t-value (to 3 decimals) Degrees of freedom (round your answer to next whole number) p-value is - Select your answer - V d. At a = 0.05, what is your conclusion? WE \\/ - Select your answer - E] reject H0 . can cannot Hintfsl Check Mv Work 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. DATAP 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. [.51 = population mean minutes late for delayed Delta flights 11.2 = population mean minutes late for delayed Southwest flights How... 0 Hamil. 0 b. What is the sample mean number of minutes late for delayed flights for each of these two airlines? Sample mean for Delta = (rounded to 2 decimals) Sample mean for Southwest = (rounded to 2 decimals) c. Using a 0.05 level of signicance, what is the pvalue and what is your conclusion? df = (rounded down to nearest whole number) p-value = (rounded to 4 decimals) We Ho. A B Delta Southwest 116 42 68 114 149 128 60 00 VO) UI A W N - 124 91 62 126 6 77 7 91 78 111 10 18 34 11 26 116 12 146 113 13 112 67 14 12 134 15 51 17 16 17 109 17 148 25 18 49 92 19 139 139 20 5 106 21 141 70 22 126 23 31 24 11 25 65 26 12Exercise 10.41 (lnferences About the Difference Between Two Population Means: Sigmas Unknown) ' QHESUOH 8 0f9 ' Hint(s) Check My Work The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. Excel File: data10-41.xlsx Kitchen Master Bedroom Kitchen Master Bedroom 25.2 18.0 23.0 17.8 17.4 22.9 19.7 24.6 22.8 26.4 16.9 21.0 21.9 24.8 21.8 19.7 26.9 23.6 a. Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative numbers. Report in thousands of dollars with no commas in your answer.) Point estimate = $ thousand b. Develop a 90% confidence interval for the difference between the two population means. (to 1 decimal and enter negative values as negative numbers) ( , ) in thousands of dollars. A B Kitchen Master Bedroom 2 25.2 18.0 W 17.4 22.9 4 22.8 26.4 21.9 24.8 19.7 26.9 23.0 17.8 8 19.7 24.6 16.9 21.0 10 21.8 11 23.6The Tippie College of Business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors m = 105 M = 40 51 = $48,800 E2 = $55,300 .91 = $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. Howlso HawliiuO b. What is the value of the test statistic? Enter negative value as a negative number, if any. (rounded to 2 decimals) c. What is the pvalue? df = (rounded down to nearest whole number) p-value = (rounded to 3 decimals) d. What is your conclusion? We - Select your answer - v that the salaries of Finance majors are lower than the salaries of Business Analytics majorsStep by Step Solution
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