The alternative and null hypotheses is given below,
Null Hypothesis, H0: μ1 - μ2 = 0
Alternative Hypothesis, Ha: μ1 - μ2 < 0
Compound Variance is given as,
sp = sqrt( s12n1+s22n2)
sp = sqrt(16973 + 112.3673)
sp = 1.9632
Test statistic of z is,
z = (x1bar - x2bar)/sp
z = (69 - 71)/1.9632
z = -1.02
P-value Approach, P=0.1539 as long as P>= 0.
As P-value >= 0.01, failing to rule out the null hypothesis.
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