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112.5 97.0 92.7 86.0 102.0 99.3 95.8 103.5 89.0 86.8 USE SALT (a) Is it plausible that the compressive strength for this type of concrete is normally distributed? O The normal probability plot is not acceptably linear, suggesting that a normal population distribution is not plausible. O The normal probability plot is acceptably linear, suggesting that a normal population distribution is not plausible. O The normal probability plot is acceptably linear, suggesting that a normal population distribution is plausible. O The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible. (b) Suppose the concrete will be used for a particular application unless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses. State the appropriate hypotheses. OH: = 100 H: > 100 ⒸHO: H = 100 H: < 100 ⒸHO: H > 100 H₁: = 100 Ho: μ = 100 H₂:μ = 100 ⒸHO: H < 100 H₁: H = 100 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value= What can you conclude? O There is strong evidence that the true average strength is less than 100 MPa. The concrete should not be used. There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be used.

112.5 97.0 92.7 86.0 102.0 99.3 95.8 103.5 89.0 86.8 USE SALT (a) Is it plausible that the compressive strength for this type of concrete is normally distributed? O The normal probability plot is not acceptably linear, suggesting that a normal population distribution is not plausible. O The normal probability plot is acceptably linear, suggesting that a normal population distribution is not plausible. O The normal probability plot is acceptably linear, suggesting that a normal population distribution is plausible. O The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible. (b) Suppose the concrete will be used for a particular application unless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses. State the appropriate hypotheses. OH: = 100 H: > 100 ⒸHO: H = 100 H: < 100 ⒸHO: H > 100 H₁: = 100 Ho: μ = 100 H₂:μ = 100 ⒸHO: H < 100 H₁: H = 100 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value= What can you conclude? O There is strong evidence that the true average strength is less than 100 MPa. The concrete should not be used. There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be used.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The accompanying data is on cube compressive strength (MPa) of concrete specimens. Data: 112.5, 97.0, 92.7, 86.0, 102.0, 99.3, 95.8, 103.5, 89.0, 86.8 **(a) Is it plausible that the compressive strength for this type of concrete is normally distributed?** - The normal probability plot is not acceptably linear, suggesting that a normal population distribution is not plausible. - The normal probability plot is acceptably linear, suggesting that a normal population distribution is not plausible. - The normal probability plot is acceptably linear, suggesting that a normal population distribution is plausible. - The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible. **(b) Suppose the concrete will be used for a particular application unless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses. State the appropriate hypotheses.** - \( H_0: \mu = 100 \) \( H_a: \mu > 100 \) - \( H_0: \mu' = 100 \) \( H_a: \mu' < 100 \) - \( H_0: \mu \ge 100 \) \( H_a: \mu < 100 \) - \( H_0: \mu \le 100 \) \( H_a: \mu > 100 \) - \( H_0: \mu > 100 \) \( H_a: \mu = 100 \) - \( H_0: \mu \le 100 \) \( H_a: \mu = 100 \) **Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)** - \( t = \) - P-value = **What can you conclude?** - There is strong evidence that the true average strength is less than 100 MPa. The concrete should not be used. - There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be used.
Transcribed Image Text:The accompanying data is on cube compressive strength (MPa) of concrete specimens. Data: 112.5, 97.0, 92.7, 86.0, 102.0, 99.3, 95.8, 103.5, 89.0, 86.8 **(a) Is it plausible that the compressive strength for this type of concrete is normally distributed?** - The normal probability plot is not acceptably linear, suggesting that a normal population distribution is not plausible. - The normal probability plot is acceptably linear, suggesting that a normal population distribution is not plausible. - The normal probability plot is acceptably linear, suggesting that a normal population distribution is plausible. - The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible. **(b) Suppose the concrete will be used for a particular application unless there is strong evidence that true average strength is less than 100 MPa. Should the concrete be used? Carry out a test of appropriate hypotheses. State the appropriate hypotheses.** - \( H_0: \mu = 100 \) \( H_a: \mu > 100 \) - \( H_0: \mu' = 100 \) \( H_a: \mu' < 100 \) - \( H_0: \mu \ge 100 \) \( H_a: \mu < 100 \) - \( H_0: \mu \le 100 \) \( H_a: \mu > 100 \) - \( H_0: \mu > 100 \) \( H_a: \mu = 100 \) - \( H_0: \mu \le 100 \) \( H_a: \mu = 100 \) **Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)** - \( t = \) - P-value = **What can you conclude?** - There is strong evidence that the true average strength is less than 100 MPa. The concrete should not be used. - There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be used.
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