A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 12 bulbs of model A showed a mean lifetime of 1203 hours and a standard deviation of 114 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1396 hours and a standard deviation of 105 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 95% confidence interval for the difference µ, -µ, between the mean lifetime u, of model A bulbs and the mean lifetime , of model B bulbs. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:I ? Upper limit:

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A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models
were taken. Analysis of 12 bulbs of model A showed a mean lifetime of 1203 hours and a standard deviation of 114 hours. Analysis of 11 bulbs of model B
showed a mean lifetime of 1396 hours and a standard deviation of 105 hours. Assume that the populations of lifetimes for each model are normally distributed
and that the variances of these populations are equal. Construct a 95% confidence interval for the difference u, -, between the mean lifetime u, of model A
bulbs and the mean lifetime u, of model B bulbs. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit:|
Upper limit:
Transcribed Image Text:A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 12 bulbs of model A showed a mean lifetime of 1203 hours and a standard deviation of 114 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1396 hours and a standard deviation of 105 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 95% confidence interval for the difference u, -, between the mean lifetime u, of model A bulbs and the mean lifetime u, of model B bulbs. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:| Upper limit:
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