Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 6.0...
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
6.0 7.2 7.3 6.3 8.1 6.8 7.0 7.5 6.8 6.5 7.0 6.3 7.9 9.0 9.0 8.7 7.8 9.7 7.4 7.7 9.7 8.2 7.7 11.6 11.3 11.8 10.7
The data below give accompanying strength observations for cylinders.
6.1 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.5 7.5 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.9
Prior to obtaining data, denote the beam strengths by X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean μ1 and standard deviation σ1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean μ2 and standard deviation σ2.
(a.1.) Use rules of expected value to show that X − Y is an unbiased estimator of μ1 − μ2.
(a.2.) Calculate the estimate for the given data. (Round your answer to three decimal places.)
(b.1.) Use rules of variance to obtain an expression for the variance and standard deviation (standard error) of the estimator in part (a).
(b.2.) Compute the estimated standard error. (Round your answer to three decimal places.)
(c) Calculate a point estimate of the ratio
σ1/σ2 of the two standard deviations. (Round
your answer to three decimal places.
(d) Suppose a single beam and a single cylinder are randomly
selected. Calculate a point estimate of the variance of the
difference X − Y between beam strength and
cylinder strength. (Round your answer to two decimal
places.)
Homework Answers
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Consider the accompanying data on flexural strength (MPa) for
concrete beams of a certain type.
6.0...
onsider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 8.1...
onsider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 8.1 8.1 7.2 7.9 6.3 6.8 7.8 6.5 7.3 11.8 6.8 9.0 7.0 7.0 9.7 11.3 6.3 7.2 10.7 8.9 5.5 7.7 7.7 11.6 8.7 9.7 7.4 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Σxi = 220.] (Round your answer to three decimal places.) c) Calculate a point estimate...
of a 1 Pa (Pascal)-1.45 10-4 psi): (in MPa, where 5.6 7.2 7.3 6.1 8.1 6.8...
of a 1 Pa (Pascal)-1.45 10-4 psi): (in MPa, where 5.6 7.2 7.3 6.1 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 74 7.7 9.7 7.8 7.7 11.6 11.5 11.8 10.8 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems 6 13588 7 00234677889 8 127 9 077 10 9 11 368 What appears to be a representative...
Flexural strength is a measure of a material's abaty to resist flure in bending. The accompanying...
Flexural strength is a measure of a material's abaty to resist flure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, HP, where I Pa (Pascal) - 1.45 10- 5.8 7.2 7.3 6.1 8.1 6.8 7.0 7.6 7.0 63 7.9 2.0 32 7.6 7.4 9.2 11.6 10.9 (a) Construct a ser-and-leaf display of the data (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 6 2 8...
Customer Waiting Times (in minutes) 7.4 6.9 6.9 6.8 7.4 6.6 7.7 6.5 7.2 7.9 8.7...
Customer Waiting Times (in minutes) 7.4 6.9 6.9 6.8 7.4 6.6 7.7 6.5 7.2 7.9 8.7 7.2 7.4 7.9 6.9 6.7 8.9 7.1 7.6 6.1 7.2 7.6 7.3 5.9 7.3 6.8 6.7 6.9 7.8 7.4 6.8 6.9 6.1 6.4 5.3 7.7 7.7 7.8 7.5 6.3 7.6 7.1 6.9 8.7 7.4 6.4 6.8 7.2 8.6 6.1 7.1 6.7 7.5 7.6 7.1 8.1 7.3 7.5 7.8 6.3 The accompanying data table includes weights (in grams) of a simple random sample of 40...
3. [-16.5 Points] DETAILS DEVORESTAT9 12.E.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Values of modulus...
3. [-16.5 Points] DETAILS DEVORESTAT9 12.E.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data (read from a graph in the article "Effects of Aggregates and...
Consider the accompanying observations on bond strength. 11.7 12.3 9.8 9.2 7.7 6.4 6.7 6.8 13.2...
Consider the accompanying observations on bond strength. 11.7 12.3 9.8 9.2 7.7 6.4 6.7 6.8 13.2 17.2 9.2 5.7 5.5 5.3 5.4 5.0 4.7 10.6 15.3 8.7 4.3 4.1 3.8 4.0 3.5 3.6 20.4 25.4 13.7 12.7 13.3 9.0 8.3 10.8 14.3 7.4 5.1 5.6 5.2 4.9 5.3 5.0 3.9 3.9 3.5 3.8 3.5 3.8 (a) Estimate true average bond strength in a way that conveys information about precision and reliability. [Hint: < x; = 388.5 and Σκαι x2 =...
The accompanying specific gravity values describe various wood types used in construction 0.34 0.41 0.45 0.54...
The accompanying specific gravity values describe various wood types used in construction 0.34 0.41 0.45 0.54 0.35 0.41 0.46 0.55 0.36 0.42 0.47 0.62 0.40 0.44 0.54 0.79 0.36 0.37 0.42 0.48 0.66 0.38 0.42 0.48 0.66 0.40 0.42 0.48 0.67 0.40 0.43 0.51 0.68 0.46 0.58 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stemtenths Leaf hundredths 3 4 4 5 6 6 Comment...
help please with explain Flexural strength is a measure of a material's ability to resist failure...
help please with explain
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 x 101 psi) 7.2 7.3 6.3 6.8 6.8 6.5 6.3 9.0 5.8 8.1 7.0 7.6 7.0 7.9 8.2 8.7 7,8 9,7 7,4 7,7 9.7 7,8 7,7 11.6 11.4 11.8 10.8 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest...
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to...
Values of modulus of elasticity
(MOE, the ratio of stress, i.e., force per unit area, to strain,
i.e., deformation per unit length, in GPa) and flexural strength (a
measure of the ability to resist failure in bending, in MPa) were
determined for a sample of concrete beams of a certain type,
resulting in the following data (read from a graph in the article
"Effects of Aggregates and Microfillers on the Flexural Properties
of Concrete"†).
Concrete"T). MOE 29.8 33.2 33.7 35.3...
Consider the accompanying observations on bond strength. 9.8 9.1 7.9 5.9 6.3 5.6 5.5 11.3 12.3...
Consider the accompanying observations on bond strength. 9.8 9.1 7.9 5.9 6.3 5.6 5.5 11.3 12.3 13.5 17.3 4.7 10.8 3.7 3.2. 8.4 10.5 5.1 4.6 9.4 15.1 20.5 14.1 4.0 8.4 4.4 25.4 13.7 7.5 5.1 4.1 12.7 5.7 3.5 6.8 7.2 5.1 4.9 4.0 3.7 13.3 8.8 5.0 5.2 4.0 3.6 3.4 3.7 (a) Estimate true average bond strength in a way that conveys information about precision and reliability. (Hint: < x;= 387.8 and *? = 4,246.2.) (Round...
of a 1 Pa (Pascal)-1.45 10-4 psi): (in MPa, where 5.6 7.2 7.3 6.1 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 74 7.7 9.7 7.8 7.7 11.6 11.5 11.8 10.8 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems 6 13588 7 00234677889 8 127 9 077 10 9 11 368 What appears to be a representative...
Flexural strength is a measure of a material's abaty to resist flure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, HP, where I Pa (Pascal) - 1.45 10- 5.8 7.2 7.3 6.1 8.1 6.8 7.0 7.6 7.0 63 7.9 2.0 32 7.6 7.4 9.2 11.6 10.9 (a) Construct a ser-and-leaf display of the data (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 6 2 8...
Customer Waiting Times (in minutes) 7.4 6.9 6.9 6.8 7.4 6.6 7.7 6.5 7.2 7.9 8.7 7.2 7.4 7.9 6.9 6.7 8.9 7.1 7.6 6.1 7.2 7.6 7.3 5.9 7.3 6.8 6.7 6.9 7.8 7.4 6.8 6.9 6.1 6.4 5.3 7.7 7.7 7.8 7.5 6.3 7.6 7.1 6.9 8.7 7.4 6.4 6.8 7.2 8.6 6.1 7.1 6.7 7.5 7.6 7.1 8.1 7.3 7.5 7.8 6.3 The accompanying data table includes weights (in grams) of a simple random sample of 40...
3. [-16.5 Points] DETAILS DEVORESTAT9 12.E.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data (read from a graph in the article "Effects of Aggregates and...
Consider the accompanying observations on bond strength. 11.7 12.3 9.8 9.2 7.7 6.4 6.7 6.8 13.2 17.2 9.2 5.7 5.5 5.3 5.4 5.0 4.7 10.6 15.3 8.7 4.3 4.1 3.8 4.0 3.5 3.6 20.4 25.4 13.7 12.7 13.3 9.0 8.3 10.8 14.3 7.4 5.1 5.6 5.2 4.9 5.3 5.0 3.9 3.9 3.5 3.8 3.5 3.8 (a) Estimate true average bond strength in a way that conveys information about precision and reliability. [Hint: < x; = 388.5 and Σκαι x2 =...
The accompanying specific gravity values describe various wood types used in construction 0.34 0.41 0.45 0.54 0.35 0.41 0.46 0.55 0.36 0.42 0.47 0.62 0.40 0.44 0.54 0.79 0.36 0.37 0.42 0.48 0.66 0.38 0.42 0.48 0.66 0.40 0.42 0.48 0.67 0.40 0.43 0.51 0.68 0.46 0.58 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stemtenths Leaf hundredths 3 4 4 5 6 6 Comment...
help please with explain
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 x 101 psi) 7.2 7.3 6.3 6.8 6.8 6.5 6.3 9.0 5.8 8.1 7.0 7.6 7.0 7.9 8.2 8.7 7,8 9,7 7,4 7,7 9.7 7,8 7,7 11.6 11.4 11.8 10.8 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest...
Values of modulus of elasticity
(MOE, the ratio of stress, i.e., force per unit area, to strain,
i.e., deformation per unit length, in GPa) and flexural strength (a
measure of the ability to resist failure in bending, in MPa) were
determined for a sample of concrete beams of a certain type,
resulting in the following data (read from a graph in the article
"Effects of Aggregates and Microfillers on the Flexural Properties
of Concrete"†).
Concrete"T). MOE 29.8 33.2 33.7 35.3...
Consider the accompanying observations on bond strength. 9.8 9.1 7.9 5.9 6.3 5.6 5.5 11.3 12.3 13.5 17.3 4.7 10.8 3.7 3.2. 8.4 10.5 5.1 4.6 9.4 15.1 20.5 14.1 4.0 8.4 4.4 25.4 13.7 7.5 5.1 4.1 12.7 5.7 3.5 6.8 7.2 5.1 4.9 4.0 3.7 13.3 8.8 5.0 5.2 4.0 3.6 3.4 3.7 (a) Estimate true average bond strength in a way that conveys information about precision and reliability. (Hint: < x;= 387.8 and *? = 4,246.2.) (Round...
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