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A simple random sample of 25 movies is taken from a movie website and the average lengths of them are found to be 150 min. The population standard deviation σ is known to be 10 min.
a. Test the hypothesis that the population mean length is greater than 145 min using the 0.05 level of significance.
b. Test the hypothesis that the population mean of movies length is different from 155 min using the critical value approach and a 0.05 level of significance.
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A machine is set to produce tennis balls so the mean bounce is 36 inches when the ball is dropped from a platform of a certain height. The supervisor suspects that the mean bounce has changed and is less than 36 inches.
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