A sample of 41 customers was produced. The sample results appear below. Construct a 95% confidence interval around the sample mean. Be sure to show me whether you use the t- or z- value, and interpret the meaning confidence interval in a single sentence. Also, state why we would we use either the "t" or the "z".

8.2, 9.1, 11.2, 5.0, 6.4, 9.5, 10.1, 7.9, 8.3, 6.8, 6.9, 7.9, 1.1, 6.7, 11.4, 6.9,

6.5, 8.0, 1.5, 8.2, 7.6, 14.1, 7.0, 10.0, 7.1, 8.0, 8.1, 4.4, 5.9, 2.3, 13.3, 9.2,

2.8, 13.0, 8.3, 10.4, 9.0, 3.5, 9.8, 6.5, 7.7