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The following data represent 25 successive subgroup averages and moving averages of span size 5 of these subgroup averages. The data are generated by a process that, when in control, produces normally distributed items having mean 30 and variance 40. The subgroups are of size 4. Would you judge that the process has been in control throughout?
X t
Mt
35.62938
35.80945
32.34106
39.13018
37.37978
30.9136
33.1748
29.45974
34.73976
30.54829
32.47771
32.5872
34.20162
36.39414
33.17019
30.06041
33.37338
27.62703
32.2585
26.54353
31.55621
34.02624
31.90186
37.75199
31.28057
27.81629
31.2824
26.88128
30.76488
26.99926
30.57259
32.4807
30.74358
32.44703
29.78317
26.7449
30.08048
38.53433
31.96463
34.03377
31.57853
28.53698
30.86678
32.93174
30.61448
28.65725
31.03497
32.18547
31.67531
Unacceptable bacterial contamination on 20 flights. (a) At α = .05, does this sample show that more than 10 percent of all flights have contaminated water? (b) Find the p-value.
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