A survey of licensed drivers inquired about running red lights. One question ask

Question

A survey of licensed drivers inquired about running red lights. One question asked, "Of every ten motorists who run a red light, about how many do you think will be caught?" The mean result for 942 respondents was x = 1.93 and the standard deviation was s = 1.8. For this large sample, s will be close to the population standard deviation , so suppose we know that = 1.8.

Give a 95% confidence interval (±0.01) for the mean opinion in the population of all licensed drivers:

The distribution of responses is skewed to the right rather than Normal. Will it strongly affect the z confidence interval for this sample?

Explanation / Answer

Give a 95% confidence interval (±0.01) for the mean opinion in the population of all licensed drivers:

alpha = 1 - 0.95 = 0.05

alpha / 2 = 0.025

Z = 1.96

I: 1.93 +/- 1.96 * 1.8 / srqt(942)

1.93 +/- 0.1149

1.8151 < miu < 2.0449

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