Question: A paired-difference experiment was conducted using n = 10 pairs of observations. (a) Test the null hypothesis H 0 : ( 1 2 ) =

A paired-difference experiment was conducted usingn= 10 pairs of observations.

(a) Test the null hypothesisH0: (12) = 0againstHa: (12)0 fora= 0.05,d= 0.3,andsd2=0.13.

State the test statistic. (Round your answer to three decimal places.)

t=

(b) Find a 95% confidence interval for(12).

(Round your answers to three decimal places.)

(c) How many pairs of observations do you need if you want to estimate(12)

correct to within 0.1 with probability equal to 0.95? (Round your answer up to the nearest whole number.)

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