For the following hypothesis H0 u70 With n 20 xbar 712 s

For the following hypothesis:
H0: u<= 70
Ha: u>70

With n = 20, xbar = 71.2, s = 6.9, and ? = 0.1, state the calculated value of the test statistic t.

Solution

test statistic is  t=(xbar- mu)/(s/sqrt (n)) ------------------ (1)

xbar = 71.2

s=1.69

n= 20

Substituting the above values in equation (1) we get

t= (71.2-70)/ [6.9/sqrt(20)]

t=0.778