Answer to Question #66220 in Statistics and Probability for Harshit tyagi

Question

A manufacturer of automobile seats has a production line that produces an average of
100 seats per day. Because of new government regulations, a new safety device has
been installed, which the manufacturer believes will reduce average daily output. A
random sample of 15 days output after the installation of the safety device is shown:
93, 103, 95, 101, 91, 105, 96, 94, 101, 88, 98, 94, 101, 92, 95 .
Assuming that the daily output is normally distributed, is there sufficient evidence to
conclude that average daily output has decreased following the installation of the
safety device? (Use α = 0.05 )