A random sample of 118 lightning flashes in a certain region resulted in a sampl

Question

A random sample of 118 lightning flashes in a certain region resulted in a sample average radar echo duration of 0.81 sec and a sample standard deviation of 0.47 sec. Calculate a 99% (two-sided) confidence interval for the true average echo duration ?. (Give answers accurate to 3 decimal places.) ( , ) Interpret the resulting interval. We are 99% confident that this interval does not contain the true population mean. We are 99% confident that this interval contains the true population mean. We are 99% confident that the true population mean lies below this interval. We are 99% confident that the true population mean lies above this interval.

Explanation / Answer

n = 118

mean = 0.81

standard deviation = 0.47

standard error = 0.47/sqrt(118)

99% (two-sided) confidence interval for the true average echo duration = mean +/- (z*standard error)

Therefore,

99% (two-sided) confidence interval for the true average echo duration = (-10.353,11.973)

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