Question

1.
Assume that the differences are normally distributed. Complete parts (a) through (d) below. 1 3 4 6 8 Observation X 2 53.4 5 49.0 7 46.1 43.3 46.2 42.4 51.4 51.7 46.9 52.9 48.8 47.3 51.9 54.8 46.7 52.6 - 2.6 - 4.9 - 2.9 -3.4 -0.6 -.9 d; -3.6 .5 (Type integers or decimals.) (b) Computed and sd d = -2.300 (Round to three decimal places as needed.) Sa = 1.805 (Round to three decimal places as needed.) (c) Test if Hd <0 at the a= 0.05 level of significance. What are the correct null and alternative hypotheses? O A. Ho Hd = 0 H:Hd < 0 0 C. Ho: Ha < 0 H:Hd = 0 OB. Ho Hd > H:H0 OD. Hold < 0 H:Hd >
2.

Answer 1

1.

b) is correct

c) test statistic, t = d bar /(Sd/sqrt(8)) =-2.3/(1.805/sqrt(8))

=3.6

t critical =t(at 0.05, dof=7)= 1.895

So test statistic > t critical

So, reject null hypothesis, so mean of difference is less than 0.

Option A is correct for null and alternate hypothesis

2.

H0: mu d=0

Ha: mu d<0 (since students are taller)

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