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A typing instructor wondered whether a new method of instruction would result in a change in the mean typing speed of students. The old method produced a mean of 64 words per minute. The results (words per minute) for 38 students using the new method were as follows:
56
60
76
59
41
66
67
33
55
43
61
71
73
77
58
65
48
90
82
46
68
36
27
52
64
54
49
69
Note that Σx = 2233 and Σx2 = 138,053. At the 5% level of significance, can the instructor conclude that the new mean is different from 64?
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