<p style="margin-bottom: 1.25rem">The lifetime, in hours, of two brands of batteries have the following population parameters.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 300px;"><colgroup><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr style="height: 30px;"><th style="height: 30px; min-height: 30px; text-align: left; --cell-justify: flex-start"></th><th style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">Mean</th><th style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">Standard Deviation</th></tr></thead><tbody><tr style="height: 30px;"><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">PowerX</td><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">$498$</td><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">$0.34$</td></tr><tr style="height: 30px;"><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">EnergyZ</td><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">$501$</td><td style="height: 30px; min-height: 30px; text-align: center; --cell-justify: center">$0.21$</td></tr></tbody></table></div></div>
<p style="margin-top: 1.25rem">$80$ PowerX and $50$ EnergyZ batteries are selected at random.<br></p>
<p>Find the probability that the difference in the mean lifetimes of the $2$ brands of batteries is greater than $2.9$ hours.</p>

The lifetime, in hours, of two brands of batteries have the following population parameters.

$80$ PowerX and $50$ EnergyZ batteries are selected at random.


Find the probability that the difference in the mean lifetimes of the $2$ brands of batteries is greater than $2.9$ hours.

Sampling From A Non-Normal Population (Central Limit Theorem) Q7

Sampling From A Non-Normal Population (Central Limit Theorem) Q7

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