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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 41E

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Answer. D, E, F

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:
79.8 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7
75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8
If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).
(a) Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places
(e.g. 90.2353).)
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the
strongest 50% (Express the answer to two decimal place (e.g. 90.15).)
(c) Calculate the point estimate of the population variance (Round the answer to three decimal places (e.g. 3.567).)
(d) Calculate the point estimate of the population standard deviation (Round the answer to two decimal places (e.g. 1.23).)
(e) Calculate the standard error of the point estimate found in part (a) (Round the answer to two decimal places (e.g. 1.23).)
(f) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds (Round
the answer to three decimal places (e.g. 0.123).)

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STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise. 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. PLAN: We will estimate ?μ by giving a 98% confidence interval. SOLVE: Find the sample mean ?¯ . (Enter your answer rounded to the nearest whole number.) ?¯= Give a 98% confidence…
show full solutionData on pull-off force (in pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8.a. Calculate the standard error of the point estimate(sample mean is 75.62). Provide an interpretation of the standard error. b. Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds.
STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.5 inches square? Given are data from students doing a laboratory exercise. 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. PLAN: We will estimate μ by giving a 95% confidence interval. SOLVE: Find the sample mean x¯ . (Enter your answer rounded to the nearest whole number.) x¯= Give a 95% confidence interval, [low, high] , for the mean load required to pull the wood apart. (Enter your answers rounded to the nearest whole number.) low=…
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