opose 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. he appropriate hypotheses. g = 100 ue 10
opose 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. he appropriate hypotheses. g = 100 ue 10
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The accompanying data is on cube compressive strength (MPa) of concrete specimens.
112.1
97.0
92.7
86.0
102.0
99.5
95.8
103.5
89.0
86.7
A 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 plausible.
O The normal probability plot is not acceptably linear, suggesting that a normal population distribution is plausible.
O The normal probability plot is 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
Ο Η μ-100
H: u + 100
O Ho: H = 100
H:u > 100
O Ho: 4 > 100
H: H = 100
Ο H0 με 100
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.
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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