> North Thank # AAABBA & 8 9 delete Name: IB Math AI SL: Spiral Review #3 8. Date: DUE WEDNESDAY APRIL 19TH At the Farmer Jack Super Market, there are 6 counters available for customers to make payment. Each counter is staffed by a cashier. The manager wants to understand whether the customers' selection of counter is uniformly distributed across the 6 counters. The following table shows the result for a sample of 180 customers on a random day. Cashier Frequency 25 35 20 Mark Jessica Bella Chi Ho BJI 36 Leslie 30 (a) Complete the table below with the expected frequencies. Cashier [2] Mark Jessies Bal Chi Ho BALL Leslie 30 Expected frequency 30 30 30 30 30 (b) A x goodness of fit test is performed at a 5% significance level. (i) State the null and alternate hypotheses. (i) Write down the number of degrees of freedom. (iii) Using your graphics display calculator, find the x-statistic and p-value. (c) The critical value is 12.833. Write down the conclusion for the test. [4] [2]