STAT150 Lecture Notes - Lecture 8: Null Hypothesis, Phenylalanine, Weighted Arithmetic Mean

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If h0 is not reject, then: you must have a large p-value, the (cid:272)ould (cid:271)e (cid:1005)(cid:1004)(cid:1004), the dis(cid:272)repa(cid:374)(cid:272)y (cid:271)et(cid:449)ee(cid:374) your sa(cid:373)ple (cid:373)ea(cid:374) a(cid:374)d (cid:1005)(cid:1004)(cid:1004) (cid:272)ould (cid:271)e due to sampling error. Rq: is the average speed at which motorists drive over the harbour bridge 60 km/h? (t-stat) Rq: is the average time in the office for a full-time worker who is a manager 8 hours? (z-stat) Rq: on average, was there any significant change in weight after 1 week on the program? y = difference in weight after one week s = 1. 494kg (sd of the differences in weight) n = 10 (number of differences) A: from the histogram, the differences appear to be drawn from a normal distribution. = -1. 3kg (mean of change in weight) C: there is evidence to suggest that on average, there is a significant difference in weight after one week. It appears that participants lose a significant amount of weigh in the first week.

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