(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. O Ho:µ > 100 Hiµ = 100 O Ho: H< 100 H:µ = 100 O Ho: µ = 100 Hai u > 100 Ο H, μ= 100 Hiµ< 100 O Ho: µ = 100 H:H # 100 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P- four decimal places.) t = |-1.34 P-value = |0.1802 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. O There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 59CR
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The accompanying data is on cube compressive strength (MPa) of concrete specimens.
112.5
97.0
92.8
86.0
102.0
99.5
95.8
103.5
89.0
86.8
In USE SALT
(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 plausible.
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 not
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.
O Ho: u > 100
H: u = 100
a'
O Ho: H < 100
H: u = 100
a
Ho: H = 100
H3: u > 100
O Ho: H = 100
H: u< 100
Но: и 3D 100
H: u # 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 = |-1.34
P-value = 0.1802
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.
O 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. 112.5 97.0 92.8 86.0 102.0 99.5 95.8 103.5 89.0 86.8 In USE SALT (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 plausible. 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 not 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. O Ho: u > 100 H: u = 100 a' O Ho: H < 100 H: u = 100 a Ho: H = 100 H3: u > 100 O Ho: H = 100 H: u< 100 Но: и 3D 100 H: u # 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 = |-1.34 P-value = 0.1802 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. O There is not strong evidence that the true average strength is less than 100 MPa. The concrete should be used.
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