A random sample of 16 airline passengers at the Bay City airport showed that the mean time spent waiting in line to check in at the ticket counters was 31 minutes with a standard deviation of 7 minutes. Construct a $99 \%$ confidence interval for the mean time spent waiting in line by all passengers at this airport. Assume that such waiting times for all passengers are normally distributed.
Added by Leslie P.
Step 1
Given that the confidence level is 99%, we find the z-critical value for a 99% confidence level, which is 2.58. The margin of error is calculated as: \[ \text{Margin of Error} = z_{\text{critical}} \times \frac{\text{standard deviation}}{\sqrt{n}} \] \[ Show more…
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A random sample of 16 airline passengers at the Bay City airport showed that the mean time spent waiting in line to check in at the ticket counters was 31 minutes with a standard deviation of 7 minutes. Construct a 99% confidence interval for the mean time spent waiting in line by all passengers at this airport. Assume that such waiting times for all passengers are normally distributed.
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