Production records show that a machine that makes bottle caps makes caps with a mean diameter of 1.85 cm and a standard deviation of 0.5 cm. The machine needs to be adjusted if the mean diameter is not equal with the production records. An inspector measured a random sample of 24 caps and found a mean diameter of 1.87 cm. (a) The correct alternative hypothesis to illustrate the above situation is H1 : u+ 1.85 Choose. (b) Determine the type of this test. (c) What is the critical value if we wish to test the claim at 3% level of significance?

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