The mean weight of trucks traveling on a particular section of i-475 is not known. a state highway inspector needs an estimate of the population mean. he selects and weighs a random sample of 49 trucks and finds the mean weight is 15.8 tons. the population standard deviation is 3.8 tons. what is the 95% confidence interval for the population mean? 14.7 and 16.9 10.0 and 20.0 16.1 and 18.1 13.2 and 17.6

14.7 and 16.9

Step-by-step explanation:

We want to find the confidence interval for the mean when the population standard deviation , is known so we use the confidence interval for the mean.

The following assumptions are also met;

The z confidence interval for the mean is given by:

The appropriate z-value for 95% confidence interval is 1.96 (read from the standard normal z-distribution table)....See attachment.

From the question, we have , and

We substitute all these values to get:

correct to one decimal place.

step-by-step explanation: