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Under laboratory test conditions a handball should bounce 48 inches. The manufacturer was receiving complaints that the balls were not as lively as they should be. The manufacturer randomly sampled 50 handballs and found a mean bounce of 46.5 inches and a standard deviation of 5 inches. At the 5% level of significance, is there sufficient evidence to suggest that the manufacturer's handballs are bouncing less than 48 inches on average? What type of error has possibly been committed? Explain the error in ordinary language.

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