Question

Hw 30 #2 A matched pairs experiment is carried out, yielding the following data: nD=50,x¯D=−0.2,sD=9.3

Is there evidence, at an α=0.08 α = 0.08 level of significance, to conclude that there is a difference between the two sets of measurements? Carry out an appropriate hypothesis test, filling in the information requested.

A. The value of the standardized test statistic:

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a) ( − ∞ , a ) is expressed (-infty, a), an answer of the form (b,∞) ( b , ∞ ) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞) ( − ∞ , a ) ∪ ( b , ∞ ) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic:

C. The p-value is

Answer 1

(A)

(B)

Ans : (-∞, -1.788)U(1.788, ∞)

(C)

Degrees of freedom = n-1 =49

P(t < -0.152 ) = 0.4399   [using Excel function T.DIST(-0.152,49,TRUE) ]

P-value = 2*P( t<-0.152) = 2*0.4399 = 0.8798