An experiment is conducted to estimate the difference in work productivity for employees under two conditions: with and without music playing in the background. Twenty employees volunteered to be part of the study. Ten of the volunteers were randomly assigned to work for one week with music playing in the background. The other 10 volunteers worked for one week without music playing in the background. Productivity is measured by counting the number of units produced for the week. A 99% confidence interval for the difference in the population means, without music – with music, is (1.525, 7.275). Does the confidence interval support the claim that employees who listen to music while working are less productive than employees who work without listening to music?
yes because the confidence interval does not contain 0
yes because the confidence interval consists entirely of positive numbers
no because the confidence interval does not contain 0
no because the confidence interval consists entirely of positive numbers
