The following measurements (in picocuries per liter) were recorded by a set of xenon gas detectors installed in a laboratory facility:

817.4,814.5,831.5,850.5,811.6,832.4 ,792.7

using these measurements, construct a 98% confidence interval for the mean level of xenon gas present in the facility. assume the population is approximately normal.

step 1 of 4: calculate the sample mean for the given sample data. round your answer to two decimal place

step 2 of 4: calculate the sample standard deviation for the given sample data. round your answer to two decimal places.

step 3 of 4: find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.

step 4 of 4: construct the 98% confidence interval. round your answer to two decimal places.

lower endpoint:

upper endpoint: