Question

Based on a sample of 36 randomly selected years, a 90% confidence interval for the mean annual precipitation in one city is 46.3 ′′ <μ<49.7 ′′

. Find the sample mean and margin of error. Use notation and round to one decimal place if needed.

Answer 1

The sample mean is 48 and the margin of error is 1.7.

Step-by-step explanation:

The sample mean can be found by taking the average of the upper and lower limits of the confidence interval. In this case, the sample mean is (46.3 + 49.7) / 2 = 48. So, the sample mean is 48.

The margin of error can be found by subtracting the lower limit from the sample mean. In this case, the margin of error is 48 - 46.3 = 1.7. So, the margin of error is 1.7.