Four types of batteries ((1) alkaline, no-name brand; (2) alkaline, name brand;

Question

Four types of batteries ((1) alkaline, no-name brand; (2) alkaline, name brand; (3) heavy-duty, no-name brand; (4) heavy-duty, name brand) were each tested to exhaustion in a circuit where the battery powered both a light-bulb and an electric clock in parallel. The clock was 'zeroed' initially and the elapsed time on it when it stopped was taken as a measurement of battery life. The experiment was replicated four times and all 16 observations made in random order over a two-week period. Answer the following questions, with due regard for the assumptions behind the analysis, using the data from the above experiment. (b) Is it worthwhile paying extra for alkaline batteries as compared to heavy-duty batteries?

Explanation / Answer

Total life time of alkaline batteries=5469

total life time of heavy duty batteries=1185

Total cost for alkaline batteries=7.68(dollars)

Total cost for heavy duty batteries=4.06(dollars)

Thus the ratio of time for alkaline and heavy duty batteries=4.615 and the corresponding ratio of cost =1.89

Thus it is worthwhile paying extra for alkaline batteries as comapred to heavy duty batteries

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