A random sample of 6 steam boiler pressure has a mean of 760 psi (pound per square inch) with its population standard deviation is 28 psi. Use this information and the level of significance a=0.05 to test whether the true average steam boiler pressure from which this sample came is 790 psi. i) State the null and alternative hypotheses. Ho: m H₁: m e ii) Calculate the test statistic and find the critical value. Answer: x = (a) 0= (b) Zo= (c) (d) (a) (b) (c) (2 d.p) (d) iii) State the decision and conclusion. Decision: ● Ho Conclusion: There is evidence to believe that the true average steam boiler pressure from which this sample came is 790 psi. Zcritical value=

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A random sample of 6 steam boiler pressure has a mean of 760 psi (pound per square inch) with its population standard deviation is 28 psi. Use this information and the
level of significance a=0.05 to test whether the true average steam boiler pressure from which this sample came is 790 psi.
i) State the null and alternative hypotheses.
Ho: m ♦
H₁: m
+
ii) Calculate the test statistic and find the critical value.
Answer:
x = (a)
σ= (b)
Zo= (c)
Zcritical value = (d)
(a)
(b)
(c)
(2 d.p)
(d)
iii) State the decision and conclusion.
Decision:
+
Ho.
Conclusion: There is
+ evidence to believe that the true average steam boiler pressure from which this sample came is 790 psi.
Transcribed Image Text:A random sample of 6 steam boiler pressure has a mean of 760 psi (pound per square inch) with its population standard deviation is 28 psi. Use this information and the level of significance a=0.05 to test whether the true average steam boiler pressure from which this sample came is 790 psi. i) State the null and alternative hypotheses. Ho: m ♦ H₁: m + ii) Calculate the test statistic and find the critical value. Answer: x = (a) σ= (b) Zo= (c) Zcritical value = (d) (a) (b) (c) (2 d.p) (d) iii) State the decision and conclusion. Decision: + Ho. Conclusion: There is + evidence to believe that the true average steam boiler pressure from which this sample came is 790 psi.
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