exercise:539a371e63: Difference between revisions
(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Luxco, a wholesale lightbulb manufacturer, has two factories. Factory A sells bulbs in lots that consists of 1000 regular and 2000 ''softglow'' bulbs each. Random sampling has shown that on the average there tend to be about 2 bad regular bulbs...") |
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Luxco, a wholesale lightbulb manufacturer, has two factories. Factory A sells bulbs in lots that consists of 1000 regular and 2000 ''softglow'' | |||
bulbs each. Random sampling has shown that on the average there tend to be about 2 bad regular bulbs and 11 bad softglow bulbs per lot. At factory B the lot size is reversed---there are 2000 regular and 1000 softglow per lot---and there tend to be 5 bad regular and 6 bad softglow bulbs per lot. | |||
sells bulbs in lots that consists of 1000 regular and 2000 ''softglow'' | |||
bulbs each. Random sampling has shown that on the average there tend to be | |||
about 2 bad regular bulbs and 11 bad softglow bulbs per lot. At factory B the | |||
lot size is reversed---there are 2000 regular and 1000 softglow per lot---and | |||
there tend to be 5 bad regular and 6 bad softglow bulbs per lot. | |||
The manager of factory A asserts, “We're obviously the better producer; our | The manager of factory A asserts, “We're obviously the better producer; our | ||
bad bulb rates are .2 percent and .55 percent compared to B's .25 percent and | bad bulb rates are .2 percent and .55 percent compared to B's .25 percent and | ||
.6 percent. We're better at both regular and softglow bulbs by half of a tenth | .6 percent. We're better at both regular and softglow bulbs by half of a tenth | ||
of a percent each.” | of a percent each.” “Au contraire,” counters the manager of B, “each of our 3000 bulb lots | ||
“Au contraire,” counters the manager of B, “each of our 3000 bulb lots | |||
contains only 11 bad bulbs, while A's 3000 bulb lots contain 13. So our .37 | contains only 11 bad bulbs, while A's 3000 bulb lots contain 13. So our .37 | ||
percent bad bulb rate beats their .43 percent.” | percent bad bulb rate beats their .43 percent.” | ||
Latest revision as of 00:02, 13 June 2024
Luxco, a wholesale lightbulb manufacturer, has two factories. Factory A sells bulbs in lots that consists of 1000 regular and 2000 softglow bulbs each. Random sampling has shown that on the average there tend to be about 2 bad regular bulbs and 11 bad softglow bulbs per lot. At factory B the lot size is reversed---there are 2000 regular and 1000 softglow per lot---and there tend to be 5 bad regular and 6 bad softglow bulbs per lot. The manager of factory A asserts, “We're obviously the better producer; our bad bulb rates are .2 percent and .55 percent compared to B's .25 percent and .6 percent. We're better at both regular and softglow bulbs by half of a tenth of a percent each.” “Au contraire,” counters the manager of B, “each of our 3000 bulb lots contains only 11 bad bulbs, while A's 3000 bulb lots contain 13. So our .37 percent bad bulb rate beats their .43 percent.”
Who is right?