# Requirements A quality control analyst has collected a random sample of 12 smartphone batteries and she plans to test their voltage level and construct a 95% confidence interval estimate of the mean voltage level for the population of batteries. What requirements must be satisfied in order to construct the confidence interval using the method with the t  distribution?

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Asked Jan 20, 2020
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Requirements A quality control analyst has collected a random sample of 12 smartphone batteries and she plans to test their voltage level and construct a 95% confidence interval estimate of the mean voltage level for the population of batteries. What requirements must be satisfied in order to construct the confidence interval using the method with the t  distribution?

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## Expert Answer

Step 1

Here, it is given that the random sample of 12 smartphone batteries.

We can use the method of t distribution to construct a confidence interval about the mean, if the mean of the sampling distribution is normal and population standard deviation is unknown.

Here, the sampling distribution is approximately normal.

Step 2

Suppose the population distribution is normal, since the size of the sample is large.

Suppose, the population of standard deviation known, we use standard normal distribution.

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