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Question 15 6 pts Green engineering practices require that the strength of recycled concrete aggregate be assessed before using them in the base of a roadway. Measurements of the resiliency modulus (MPa) on n = 18 specimen of recycled concrete aggregate produced a mean $\bar{x} = 168.2$ MPa. Find the maximum error of estimate for a level of confidence = 95%, for the population mean resiliency modulus ($\mu$), knowing that the population standard deviation is 18.10 MPa, and the variable is normally distributed. ? 1.96 ? 159.84 None of the options. ? 8.362 ? 176.56

          Question 15
6 pts
Green engineering practices require that the strength of recycled concrete aggregate be assessed
before using them in the base of a roadway. Measurements of the resiliency modulus (MPa) on n = 18
specimen of recycled concrete aggregate produced a mean $\bar{x} = 168.2$ MPa. Find the maximum error of
estimate for a level of confidence = 95%, for the population mean resiliency modulus ($\mu$), knowing that
the population standard deviation is 18.10 MPa, and the variable is normally distributed.
? 1.96
? 159.84
None of the options.
? 8.362
? 176.56
        
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Question 15
6 pts
Green engineering practices require that the strength of recycled concrete aggregate be assessed
before using them in the base of a roadway. Measurements of the resiliency modulus (MPa) on n = 18
specimen of recycled concrete aggregate produced a mean x̅ = 168.2 MPa. Find the maximum error of
estimate for a level of confidence = 95%, for the population mean resiliency modulus ($\mu$), knowing that
the population standard deviation is 18.10 MPa, and the variable is normally distributed.
? 1.96
? 159.84
None of the options.
? 8.362
? 176.56

Added by Christopher S.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Green engineering practices require that the strength of recycled concrete aggregate be assessed before using them in the base of a roadway. Measurements of the resiliency modulus (MPa) on n = 18 specimens of recycled concrete aggregate produced a mean x = 168.2 MPa. Find the maximum error of estimate for a level of confidence = 95%, for the population mean resiliency modulus (μ), knowing that the population standard deviation is 18.10 MPa, and the variable is normally distributed.
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Qs. 6 A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ² = 1000 (psi)². A random sample of 12 specimens has a mean compressive strength of ̄x = 3250 psi. (a) Construct a 99% two-sided confidence interval on mean compressive strength. (b) Construct a 95% two-sided confidence interval on mean compressive strength. Compare the width of this confidence interval with the width of the one found in part (a). (c) Suppose that it is desired to estimate the compressive strength with an error that is less than 15 psi at 95% confidence. What sample size is required?

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Transcript

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00:01 Hello, so today i'm going to transfer equation out confidence interval and specific application with concrete strength.
00:07 For doing so first, i sketch the situation that the equation that you need to use here, where mu is the mean, t is the standard value for your specific confidence level is this standard deviation and n is the sample size.
00:22 So the first step is replacing the mean.
00:25 The t you can calculate it with the degrees of freedom.
00:28 Degrees of freedom normally is n minus 1.
00:31 So in this case you have 10 observations, minus 1, 19, and your alpha correspond to your confidence level is 2 .093.
00:40 This is the standard deviation that is given on the problem and end is the sample size...
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