Question

Use-the-pollooing Sample to test- whether the Pophlation Mean S ignificantly different from 5.0176 gm 4 Null, AIL α=.05 Cr tical value O b served Difference Standard Ercor Calculated Test Statistics approximate p-ualue Out Come Reject Nall? T NoT Reject Null? f Alpha had been .01 would the outcome Change ? Yes or No

Answer 1

H0 : mu = 5.0976
Ha: mu not equasl to 5.0976

Critical value ;

-1.96 , 1.96

From the given data,

xbar = 8.20
Sigma = 2.1679

Observed difference = xbar - mu
= 8.20 - 5.0976
= 3.1024

std.error = (sigma/sqrt(n))
= ( 2.1679/sqrt(5))
= 0.9695

test statistics:

t = obs. diff/std.error
= 3.1024/0.9695

= 3.20

p value = 0.0329

Reject H0

yes outcome will change at 0.01