A steel manufacturer claims that his steel has a standard deviation of s = 0.01. In order to test his claim a sample of n = 12 was collected and measured the standard deviation. If the sample standard deviation s = 0.014, does the test support manufacture’s claim about standard deviation? (Use a = 0.05). Please draw the distribution curve and indicate rejection regions.
hypothesis:-
test statistic be:-
df = (n-1) = (12-1) = 11
chi square critical value for df = 11, alpha= 0.05 be:-
value | excel function | |
=CHISQ.INV.RT(0.025,11) | ||
=CHISQ.INV.RT(0.975,11) |
the rejection region be:-
decision:-
so, we fail to reject the null hypothesis.
conclusion:-
there is some (weak) evidence to support manufacture’s claim about standard deviatio at 0.05 leevl of significance.
*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible...
Get Answers For Free
Most questions answered within 1 hours.