A cinema in Brisbane wished to determine whether introducing concession prices lead to an overall increase in prot. It was known that they (on average) receive $587.50 profit per hour, with a standard deviation of $35. They planned to test the prot data after the new pricing schemes were implemented, using a random sample of 50 hours of operation and indicating that they were prepared to accept a Type I error probability of 0.05. 1. State the direction of the alternative hypothesis for the test. Type gt (greater than), ge (greater than or equal to), It (less than), Ie (less than or equal to) or ne (not equal to) as appropriate in the box. 2. State, in absolute terms, the critical value as found in the tables in the textbook. 3. Determine the upper boundary of the region of non-rejection in terms of the mple mean used in testing the claim (to two decimal places). If there is no (theoretical) upper boundary, type gt in the box. 4. If the average prot per hour found from the sample is $595, is the null hypothesis rejected for this test? Type yes or no. 5. From your ndings in (d), what is the value of the test statistic (to two decimal places). 6. Disregarding your answer for 4, if the null hypothesis was rejected when the new pricing scheme was tested, could it be concluded that adding the concession prices increased the prot per hour at the 5% level of signicance? Type yes or no