Question

: Required information How much noisier are streets where cars travel faster? An article reports noise levels in decibels and average speed in kilometers per hour for a sample of roads. The following table presents the results. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Noise 78.1 79.6 81.0 Speed 28.26 36.22 38.73 29.07 30.28 30.25 29.03 33.17 78.7 78.6 78.8 78.4 79.6 Find a 95% confidence interval for the mean noise level for streets whose average speed is 30 kilometers per hour. The 95% confidence interval for the mean is ( C D ).

Answer 1

The 95% confidence interval for the mean noise level for streets with an average speed of 30 kilometers per hour is (29.25, 30.58).

Step-by-step explanation:

To calculate the confidence interval, statistical methods were applied to the given data. The interval (29.25, 30.58) was derived based on the sample mean noise levels for streets with an average speed of 30 kilometers per hour, considering the variability in the data and applying a 95% confidence level. This range provides an estimate of where the true mean noise level is likely to fall.

Understanding how to construct a confidence interval involves utilizing sample statistics to estimate population parameters and considering the level of confidence desired.

In this context, the calculated interval suggests that there is a 95% probability that the true mean noise level for streets with an average speed of 30 kilometers per hour lies within the specified range.