The Shuler Motor Mile is a high-volume discount car dealership that stocks several different makes of cars. They also have a large service department. The dealership telephones six randomly selected customers each week and conducts a survey to determine their satisfaction with the service they received. Each survey results in a customer satisfaction score based on a 100-point scale, where 100 is perfect (and what the dealership ultimately aspires to). Following are the survey results for three months:

a. Develop an x-chart to be used in conjunction with an R-chart using 3σ limits to monitor the level of customer satisfaction at the dealership and indicate if customer satisfaction is being accomplished on a continuing basis.
b. The dealership would like to achieve an average customer satisfaction score of 95 (±3); is the service department capable of this?

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Customer Satisfaction Scores Week 87 94 76 8 93 97 100 93 991 90 78 87 65 93 8 93 89 77 99 91 4 90 93 95 86 91 82 0 81 8 93 0 9496 100 95 66 7 94 83 94 63 89 8 79 95 85 100 98 93 93 100 99 87 8 78 9 8 86859 10 12