The port authority sells a wide variety of cables and adapters for electronic equipment online. last year the mean value of orders placed with port authority was $47.28 and management wants to assess whether the mean value of orders placed to date this year is the same as last year. a sample of 100 orders placed this year collected and recorded below.

a)at the 5% level of significance, test whether the mean value of this year’s orders differs from last year’s mean orders.

b)port authority also wants to determine if the gender profile of its customers has changed from last year when 65% of orders were placed by male customers. test at 5% level