Problem 1: A software company markets a new computer game with two experimental packaging designs. Design 1 is sent to 11 stores; their average sales the first month is 52 units with a sample standard deviation of 12 units. Design 2 is sent to 6 stores; their average sales the first month is 46 units with a sample standard deviation of 10 units. Test at 1% level of significance whether the data provide sufficient evidence to conclude that the mean sales per month of the two designs are different.

Fig: 1