2. Choosing Lottery Numbers: In the Super-Mega lottery there are 50 numbers (1 to 50), a player chooses ten different numbers and hopes that these get drawn. If the player's numbers get drawn, he/she wins an obscene amount of money. The table below displays the frequency with which classes of numbers are chosen (not drawn). These numbers came from a sample of 180 chosen numbers. Chosen Numbers (n = 180) 1 to 10 11 to 20 21 to 30 31 to 40 41 to 50 Count 54 12 34 27 23 The Test: Test the claim that chosen numbers are not evenly distributed across the five classes. Test this claim at the 0.05 significance level. 3 3. Customer Distribution by Weekday: A drop-in auto repair shop staffs the same number of me- chanics on every weekday (weekends are not counted here). One of the mechanics thinks this is a bad idea because he suspects the number of customers is not evenly distributed across these days. For a sample of 289 customers, the counts by weekday are given in the table. Number of Customers (n = 289) Monday Tuesday Wednesday Thursday Friday Count 48 71 65 57 48 The Test: Test the claim that the number of customers is not evenly distributed across the five weekdays. Test this claim at the 0.05 significance level