## Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% confidence inter

Question

Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% confidence interval of the true difference in the means of their voltage. Assume that both variables are normally distributed. Brand X Brand Y Xi = 9.2 volts 0 = 0.3 volt ni = 27 X2 = 8.8 volts 02 = 0.1 volt na = 30

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2021-09-27T15:26:50+00:00
2021-09-27T15:26:50+00:00 1 Answer
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## Answers ( )

Answer:And replacing we got:

And the confidence interval for the difference of means would be given by:

Step-by-step explanation:Previous conceptsA

confidence intervalis “a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval”.The

margin of erroris the range of values below and above the sample statistic in a confidence interval.Normal distribution, is a “probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean”.We have the following data given:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by and . And the critical value would be given by:

The confidence interval is given by:

And replacing we got:

And the confidence interval for the difference of means would be given by: