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6.2) A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100inches, the company wants the

6.2) A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100inches, the company wants the mean height the balls bounce upward to be 55.3 inches. This average is maintained by periodically testing random samples of

25 tennis balls. If the t-value falls between t0.95 and t0.95, 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

56.9inches and the standard deviation is 0.25inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls?

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Part 1

Find t0.95 and t0.95.

-t0.95=_______________

t0.95=_______________

(Round to three decimal places as needed.)

6.3) The figure to the right shows the results of a survey in which

2500 college graduates from the year 2016 were asked questions about employment. Construct 99% confidence intervals for the population proportion of college students who gave each response.

TABLE

Expected to stay at first employers for 3 years or more 69%

Completed an apprenticeship or internship 67%

Employed in the field of study 65%

Feel underemployed 49%

Prefer to work for a large company 13%

The 99% confidence interval for the proportion of college students that expect to stay at their first employer for 3 or more years is_____________

(Round to three decimal places as needed.)

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