A company manufactures tennis balls When its tennis balls are dropped onto a con

Question

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 56.1 inches. This average is maintained by periodically testing random samples of 25 tennis balls If the l value fats between - t_0.98and t_0.98, 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 56.7 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find - t_0.98 and t_0.98. -t_0.98 = (Round to three decimal places as needed)

Explanation / Answer

Solution:

Here, we have to find critical t values.

We are given

Sample size = n = 26

Sample mean = 56.7

Sample standard deviation = 0.25

Confidence level = c = 0.98

So, we have

Degrees of freedom = n – 1 = 26 – 1 = 25

Level of significance = = 1 – c = 1 – 0.98 = 0.02

So, by using t table or excel,

We have

-t0.98 = -2.485

t0.98 = 2.485

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