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In: Statistics and Probability

2.) A process produces cable for the local telephone company. When the process is operating correctly,...

2.) A process produces cable for the local telephone company. When the process is operating correctly, cable diameter follows a normal distribution with mean 4 inches. A random sample of 5pieces of cable found diameters with a sample mean of 3 inches and a sample standard deviation of 5÷9 inches.
a) State your hypothesis H0 and H1 claiming that the process is operating correctly.
b) State the decision rule, sample statistics, table value and test statistic in the same order as in the extra solved examples on hypothesis testing.
c) Test, at the 95% level, the null hypothesis that the process is operating correctly   

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