The mean bond strength of a cement product must be at

Chapter 9, Problem 133E

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The mean bond strength of a cement product must be at least \(1000 \mathrm{psi}\). The process by which this material is manufactured must show equivalence to this standard. If the process can manufacture cement for which the mean bond strength is at least \(9750 \mathrm{psi}\), it will be considered equivalent to the standard. A random sample of six observations is available, and the sample mean and standard deviation of bond strength are \(9360 \mathrm{psi}\) and \(42.6 psi\), respectively.

(a) State the appropriate hypotheses that must be tested to demonstrate equivalence.

(b) What are your conclusions using \(\alpha=0.05\)?

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