6:38 PM Sun Jun 12 19% % AA webassign.net C u + Apple Bing Google Yahoo Google (a) Provide a five-number summary (in million dollars). minimum million dollars first quartile million dollars median million dollars third quartile million dollars maximum million dollars b) Compute the lower and upper limits (in million dollars). lower limit million dollars upper limit million dollars (c) Do the data contain any outliers? ---Select--- v of the values are within the limits, therefore there are ---Select--- v outliers. (d) The largest company on this list has sales of $14,138 million. Suppose a data entry error (a transposition) had been made and the sales had been entered as $41,138 million. Would the method of detecting outliers in part (c) identify this problem and allow for correction of the data entry error? This number ---Select--- have shown up as an outlier. (e) Show a boxplot. O 2000 6000 8000 10000 12000 14000 O 2000 4000 6000 8000 10000 12000 14000 16000 O 0 2000 4000 6000 8000 10000 12000 14000 16000 0 2000 4000 6000 8000 10000 12000 14000 Need Help? Read It Master It6:38 PM Sun Jun 12 18% 04 webassign.net 7. [-/1.53 Points] DETAILS ASWSBE14 3.E.046.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a sample with data values of 25, 23, 18, 13, 28, 32, 26, and 23. Provide the five-number summary for the data. minimum first quartile median third quartile maximum Need Help? Read It M Master It 8. [-/1.53 Points] DETAILS ASWSBE14 3.E.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a sample with data values of 28, 24, 21, 14, 30, 33, 29, and 26. Show the boxplot for the data. O 14 16 18 20 22 24 26 28 30 32 10 15 20 25 30 35 40 O 10 15 20 25 30 35 40 5 10 15 20 25 30 35 Need Help? Read It 9. [-/1.53 Points] DETAILS ASWSBE14 3.E.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A data set has a first quartile of 49 and a third quartile of 55. Compute the lower and upper limits for the corresponding boxplot. lower limit upper limit Should a data value of 67 be considered an outlier? The data value of 67 ---Select--- |an outlier. Need Help? Read It6:36 PM Sun Jun 12 ?1S%E}Jh webassignnet 5. [-I1 .53 Points] DETAILS ASWSBE14 3.E.041. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547.t Assume that GMAT scores are bellshaped with a standard deviation of 100. (a) What percentage of GMAT scores are 647 or higher? \"/0 D (b) What percentage of GMAT scores are 747 or higher? \"/u U (c) What percentage of GMAT scores are between 347 and 547? \"/o D (d) What percentage of GMAT scores are between 347 and 647? % U Need Help? 6. [I1 .53 Points] DETAILS ASWSBE14 3.E.042. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,100. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,100? (Round your answer to two decimal places.) (b) What is the z-score for a backyard structure costing $6,100? (c) Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier. The cost $2,100 is 0.33 standard deviations v the mean, therefore it is v . The cost $6,100 is 2.50 standard deviations v the mean, therefore it is v . (d) The cost for a backyard shed-office combination built in Albany, California, is $14,200. Compute the z-score for this structure. Should this structure be considered an outlier? Explain. This structure is v because the z-score is v . Need Help? 7. [-I1.53 Paints] l DETAILS l ASWSBE143.E.O46.MI. 6:38 PM Sun Jun 12 ?1Q%E}Ji [1] AA webassignnet 6 1 + Apple Bing Google Yahoo Google (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates that there is relationship between the two variables. (c) Compute the sample covariance. :1 Based on the sample covariance, what can be said about the relationship between the two variables? 0 There is a strong positive linear relationship between the two variables. 0 There is a strong negative linear relationship between the two variables. 0 There is no relationship between the two variables. 0 There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. Q There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. (d) Compute the sample correlation coefcient. (Round your answer to three decimal places.) :1 Based on the sample correlation coefcient, what can be said about the relationship between the two variables? 0 There is a strong positive linear relationship between the two variables. 0 There is a strong negative linear relationship between the two variables. 0 There is no relationship between the two variables. 0 There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefcient. 0 There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefcient. 6:38 PM Sun Jun 12 webassignnet '5" 18% a) 10. [41.53 Points] DETAILS ASWSBE14 3.E.051.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. 14,138 6,452 1750 2,718 1,356 10,398 7,578 (a) (b) (C) (d) (e) 4,119 4,441 2,027 3,753 5,794 8,405 Provide a ve-number summary (in million dollars). minimum million dollars rst quartile :] million dollars median C] million dollars third quartile C] million dollars maximum million dollars Compute the lower and upper limits (in million dollars). lower limit million dollars upper limit :] million dollars Do the data contain any outliers? --Solect- v of the values are within the limits, therefore there are outliers. The largest company on this list has sales of $14,138 million. Suppose a data entry error (a transposition) had been made and the sales had been entered as $41,138 million. Would the method of detecting outliers in part (c) identify this problem and allow for correction of the data entry error? This number have shown up as an outlier. Show a boxplot. rl:|:lI RIIIIIIIIIIIIhIhIIIHIIIIIIHIl O 0 2000 4000 6000 8000 100001200014000 FEEl W O 0 2000 4000 8000 800010000120001400016000 FEEl IIlIIIIIIIIIIIHIIIILhIlIlllLIAhLll O 0 2000 4000 6000 800010000120001400016000 m (D (D 6:36 PM Sun Jun 12 18% 4 a webassign.net 1. [-/1.53 Points] DETAILS ASWSBE14 3.E.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations. z-score for 10 z-score for 20 z-score for 12 z-score for 17 z-score for 16 Need Help? Read It Submit Answer 2. [-/1.53 Points] DETAILS ASWSBE14 3.E.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the minimum percentage of the data within each of the following ranges. (Round your answers to the nearest integer. ) (a) 20 to 40 % (b) 15 to 45 (c) 24 to 36 % (d) 18 to 42 % (e) 11 to 49 1% Need Help? Read it Watch It 3. [-/1.53 Points] DETAILS ASWSBE14 3.E.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose the data have a bell-shaped distribution with a mean of 25 and a standard deviation of 5. Use the empirical rule to determine the percentage of data within each of the following ranges. (a) 15 to 35 O approximately 68% O approximately 95% almost all (b) 10 to 40 O approximately 68% O approximately 95% almost all6:36 PM Sun Jun 12 ?1S%Efjh webassignnet Need'Flelp?| II-n n In\" | 3. [-I1 .53 Points] DETAILS ASWSBE14 3.E.038. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Suppose the data have a bell-shaped distribution with a mean of 25 and a standard deviation of 5. Use the empirical rule to determine the percentage of data within each of the following ranges. (a) 15 to 35 0 approximately 68% 0 approximately 95% 0 almost all (b) 10 to 40 0 approximately 68% 0 approximately 95% 0 almost all (c) 20 to 30 0 approximately 68% 0 approximately 95% 0 almost all Need Help? 4. [I1.53 Points] DETAILS ASWSBE14 3.E.040.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the mean retail price per gallon of regular grade gasoline in the United States is $3.45 with a standard deviation of $0.10 and that the retail price per gallon has a bell-shaped distribution. (a) What percentage of regular grade gasoline sold between $3.35 and $3.55 per gallon? \"/u H (b) What percentage of regular grade gasoline sold between $3.35 and $3.65 per gallon? \"/0 U (c) What percentage of regular grade gasoline sold for more than $3.65 per gallon? % U Need Help? 5. [I1 .53 Points] DETAILS ASWSBE14 3.E.041. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547.'r Assume that GMAT scores are bellshaped with a standard deviation of 100. 6:38 PM Sun Jun 12 19% % AA webassign.net + Apple Bing Google Yahoo Google The scatter diagram indicates that there is ---Select--- |linear relationship between the two variables. (c) Compute the sample covariance. Interpret the sample covariance. The sample covariance indicates that there is ---Select--- linear relationship between the two variables. d) Compute the sample correlation coefficient. (Round your answer to three decimal places.) Interpret the sample correlation coefficient. The sample correlation coefficient indicates that there is |---Select--- |linear relationship between the two variables. Need Help? Read It Master It 13. [-/1.64 Points] DETAILS ASWSBE14 3.E.056.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Five observations taken for two variables follow. xi 3 12 18 24 yi 6 4 9 (a) Develop a scatter diagram for these data. (b) What does the scatter diagram indicate about the relationship between x and y? c) Compute and interpret the sample covariance. (d) Compute and interpret the sample correlation coefficient. Click here to begin! Need Help? Read It6:38 PM Sun Jun 12 ?1Q%Efjh webassignnet 11. [-I1 .53 Points] DETAILS ASWSBE14 3.E.055. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Five observations taken for two variables follow. Ell-IE n\".- (a) Develop a scatter diagram with x on the horizontal axis. y y so 70 60 50 4D 30 20 10 (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates that there is relationship between the two variables. (c) Compute the sample covariance. :] Based on the sample covariance, what can be said about the relationship between the two variables? 0 There is a strong positive linear relationship between the two variables. 0 There is a strong negative linear relationship between the two variables. 0 There is no relationship between the two variables. 0 There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. 0 There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. (d) Compute the sample correlation coefcient. (Round your answer to three decimal places.) :1 6:38 PM Sun Jun 12 ?1Q%E}Jv webassignnet 12. [11.53 Points] DETAILS ASWSBE14 3.E.056.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Five observations taken for two variables follow. a\".- n\".- (a) Develop a scatter diagram for these data. y y 20 18 16 14 (b) What does the scatter diagram indicate about the relationship between x and y? The scatter diagram indicates that there is linear relationship between the two variables. (c) Compute the sample covariance. :1 Interpret the sample covariance. The sample covariance indicates that there is v linear relationship between the two variables. (d) Compute the sample correlation coefcient. (Round your answer to three decimal places.) :1 Interpret the sample correlation coefcient. The sample correlation coefficient indicates that there is v linear relationship between the two variables