Write the word or phrase that best completes each statement or answers the quest

Question

Write the word or phrase that best completes each statement or answers the question. Preliminary data analyses indicates that use of a paired t-test is reasonable. Perform the hypothesis test by using either the critical-value approach or the P-value approach as indicated. Assume that the null hypothesis is H_0: mu_1 = mu_2. The table below shows the weights, in pounds, of seven subjects before and after following a particular diet for two months. At the 1% significance level, do the data provide sufficient evidence to conclude that the diet is effective in reducing weight? Use the critical-value approach.

Explanation / Answer

mean (before) = 168 = m1

mean (after ) = 162.7=m2

std.devn (before )= 16.66=s1

std devn(after ) = 15.08=s2

comparing two treatments

t = (m1-m2)/Sp1

where Sp1= Sp*sqrt((1/6)*2)

Sp=(n1-1)s1^2+(n2-1)*s2^2/(n1+n2-2)

Result

AT 1% level null hypothesis must not be rejected

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