Question

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

622.2, 619.6, 632.4, 652.8, 634.4, 637.3

Using these measurements, construct a 95% 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 places.

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 95% confidence interval. Round your answer to two decimal places.

Answer 1

soln tet, 2 ; measurements ( Picocuries per liter) Is The given sample 629.2, 619.6, 682.4, 652.8., 634.4637-3 assumed that De fellows for comes from He populadron which is norma normally distributed We have to calculate the COD 995 Confidence Thuterial por the meg level of renon gas meon Step 1: calculating Sample 6.33.12 39 Step 2 Sample Standard deviation s 11 I È chia) n 191 Is = 11.91

Step 3: Optical value. 24 at gst 0.05 level of sigriticance. 1.96 Toterval Step 4: 95 %. Confidence u f Za I 1 + 683.12 + 1,96 * 1.91 16 The 95% confidence interval for the mean level Of Penon gas is (623.59, 642.65) 95% confidence mterval 623.59 633.12 642.65 . mean