The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used in making a certain brand of radial tire.The population is normally distributed and the population standard deviation is known.She uses a Z test to test the null hypothesis that the mean tensile strength is 800 pounds per square inch.The calculated Z test statistic is a positive value that leads to a p-value of .045 for the test.If the significance level ($\alpha$)is .05,the null hypothesis would be rejected.

Question

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Since the p-value of the test is less than the significance level (0.045 < 0.05), the null hypothesis would be rejected. Therefore, the manager can conclude that the average tensile strength of rubber used in making the certain brand of radial tire is not 800 pounds per square inch.

The Manager of the Quality Department for a Tire Manufacturing α\alphaα

The Manager of the Quality Department for a Tire Manufacturing $\alpha$