Use the given confidence level and sample data to find aconfidence interval for

Question

Use the given confidence level and sample data to find aconfidence interval for estimating the population mean:                                                                                                          _ speeds of drivers ticketed in a 55 mi/h zone: 95% confidence;n = 90, x = 66.2 mi/h, and is known to be 3.4mi/h. Use the given confidence level and sample data to find aconfidence interval for estimating the population mean:                                                                                                          _ speeds of drivers ticketed in a 55 mi/h zone: 95% confidence;n = 90, x = 66.2 mi/h, and is known to be 3.4mi/h.

Explanation / Answer

The formula for a confidence interval is±z*(/n). The z-score for a 95%confidence interval is 1.96 (look at a z-table to determinethis.) So, the CI is: 66.2±1.96*3.4/90 -->(65.50, 66.90) There is a 95% chance that the true populationmean falls between these two values.

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