Question 271411
Calculate the test statistic and p-value for each sample.
a. H0: μ = 60 versus H1: μ /=(not = to) 60, α = .025, ¯ x = 63, σ = 8, n = 16
test stat: invT(0.125,15)*[8/sqrt(16)] = -4.98
p-value = 2*P(-100 < t < -4.98) = 0.0001646..
===============================================

b. H0: &#956; &#8805; 60 versus H1: &#956; < 60, &#945; = .05, ¯ x = 58, &#963; = 5, n = 25
test stat: invT(0.95,24)*5/sqrt(25) = 1.7109
p-value = P(1.7109 < t < 100) = 0.05
===============================================

c. H0: &#956; &#8804; 60 versus H1: &#956; > 60, &#945; = .05, ¯ x = 65, &#963; = 8, n = 36
test stat: invT(0.05,35) = -1.6896
p-value = P(-100< t < -1.6896) = 0.05
===============================================
Cheers,
Stan H.