A random sample of 105 lightning flashes in a certain region resulted in a sampl

Question

A random sample of 105 lightning flashes in a certain region resulted in a sample average radar echo duration of 0.80 sec and a sample standard deviation of 0.39 sec. Calculate a 99% (two-sided) confidence interval for the true average echo duration . (Round your answers to two decimal places.)

Interpret the resulting interval.

a.) We are 99% confident that this interval does not contain the true population mean.

b.) We are 99% confident that the true population mean lies below this interval.

c.) We are 99% confident that this interval contains the true population mean.

d.) We are 99% confident that the true population mean lies above this interval.

Explanation / Answer

alpha / 2 = 0.005 Z= 2.57

I: 0.80 +/- 2.57 * 0.39 / srqt ( 105)

0.80 +/- 0.0978

0.7022 < miu < 0.8978

c.) We are 99% confident that this interval contains the true population mean.

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