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A Coach Uses a New Technique in Training Middle Distance

question 25

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A coach uses a new technique in training middle distance runners.The times for 9 different athletes to run 800 metres before and after this training are shown below.  ABCDEFGHI Time before training (seconds) 115.2120.9108.0112.4107.5119.1121.3110.8122.3Time after training (seconds)  116.0119.1105.1111.9109.1115.2118.5110.7120.9\begin{array}{l}\begin{array} {| l | llllllll l| } \hline \text { }&A&B&C&D&E&F&G&H&I\\\hline \text { Time before training (seconds) }&115.2&120.9&108.0&112.4&107.5&119.1&121.3&110.8&122.3\\\hline \text {Time after training (seconds) }&116.0&119.1&105.1&111.9&109.1&115.2&118.5&110.7&120.9\\\hline \end{array}\end{array} Construct a 99% confidence interval for the mean difference of the "before" minus "after" times if d( before  after ) =1.222 and sd=1.826\overline { \mathrm { d } } ( \text { before } - \text { after } ) = 1.222 \text { and } \mathrm { s } _ { \mathrm { d } } = 1.826 .


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Down Payment

An initial upfront portion of the total amount due, often in the context of purchasing an expensive item like a house, which is not financed through a loan.

Additional Money

Extra funds that are either needed or have been obtained to cover expenses, investments, or any unforeseen financial requirements.

Lump Sum

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