Question 14 7 pts Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. You can type your work into the textbox below or submit a picture of your work using the image upload icon above. This problem is worth 10 points, but you only need to score 7 for full credit. The manager of a large supermarket wants to know if the quality of customer service at the supermarket is acceptable. One aspect of the service that was examined was the amount of time a customer has to wait in line to check out. According to the customer service guidelines for this supermarket, acceptable probabilities for waiting time categories is given in the table below: Waiting Time Category Probability No more than 1 minute 0.25 More than 1 minute but no more than 3 0 30 minutes ' More than 3 minutes but no more than 5 minutes More than 5 minutes but no more than 10 minutes More than 10 minutes To investigate whether waiting times were acceptable, waiting times were recorded for a random sample of 125 customers. The data is shown in the table below. Waiting Time Category No more than 1 minute 25 More than 1 minute but no more than 3 32 minutes More than 5 minutes but no more than 10 . 10 minutes More than 10 minutes Use the sample data for the 125 customers to conduct a statistical test to determine if the waiting More than 3 minutes but no more than 5 50 minutes times at the supermarket are inconsistent with the customer service guidelines at a or = 0.05 level. To score full credit, you must I State the correct hypotheses - Identify the correct test procedure by name - Verify all conditions - Have correct mechanics with justication; test statistic, degrees of freedom, p-value I State the correct conclusion in the context of the