6.2.37 Question Help A company manufactures tennis balls. When its tennis balls

Question

6.2.37 Question Help A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 55. 1 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the twalue falls between - and o ss then the company will be satisfied that it is manufacturing acceptable tennis balls A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.5 inches and the standard deviation is 025 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find - to9s and to 98 98 (Round to three decimal places as needed)

Explanation / Answer

The t values are -2.492 and +2.492

we can find these values from the t table by fixing two tail case with probability 0.02 and with degrees of freedom = 25-1 = 24

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