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temperature is usually going up
Choose: matched pairs t interval. parameter: difference in mean temps between the early 1900s and late 1900s
check: random good normal good 10% good calc: t interval stats (xbar = .507, Sx = .637, n=35, C level = .95 ) = 0.28818, 0.72582 t = 2.042. .807 +- 2.042(0.637/srqt(35) (.287, .727)
we are 95% confident that the interval from .287 and .727 captures the difference between temps in the early and late 1900s
Choose: matched pairs t test same as above h0 : m = 0 ha : m > 0 sig level = 0.05 check: conditions were already met calc: t=4.7 ( picture ) p = 0.00002 conclude: because 0.00002 < 0.05 , we reject h0. Ther is convincing evidence of an increase in global temps from early to late 1090s
1 diff in temperatures
yes because every value in the confidence interval is greater than 0 which means we have evidence for global warming
no, because we had already said that we agreed that there was global warming
Paired Data
2 Samp Data
vs
vs
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findind mean difference
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subtract data pairs THEN find mean
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treat it as 1 sample
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finding a difference of means
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find mean and THEN subtract data pairs
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treat as 2 samples
paired one sample of adults comparing email vs mail
2 sample indep. 100 west 100 east
paired - one sample of 15 phones comparing VA vs PA
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