Question 2 The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is o = 3 psi. A random sample of four specimens is tested. The results are y=145, ½=153, y½=150 and y4=147. (a) State the hypotheses that you think should be tested in this experiment. (b) Test these hypotheses using a = 0.05. What are your conclusions? (c) Find the Pvalue for the test in part (b). (d) Construct a 95 percent confidence interval on the mean breaking strength.

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The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated
that the standard deviation of breaking strength is o = 3 psi. A random sample of four
specimens is tested. The results are yi=145, ½=153, y=150 and y4=147.
(a) State the hypotheses that you think should be tested in this experiment.
(b) Test these hypotheses using ¤ = 0.05. What are your conclusions?
(c) Find the P-value for the test in part (b).
(d) Construct a 95 percent confidence interval on the mean breaking strength.
Transcribed Image Text:Question 2 The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is o = 3 psi. A random sample of four specimens is tested. The results are yi=145, ½=153, y=150 and y4=147. (a) State the hypotheses that you think should be tested in this experiment. (b) Test these hypotheses using ¤ = 0.05. What are your conclusions? (c) Find the P-value for the test in part (b). (d) Construct a 95 percent confidence interval on the mean breaking strength.
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