Question

The accompanying data are the amounts of fat (in ounces of fat per one hundred ounces of meat) found in samples of two types of meat products. The fat contents are normally distributed and have equal variances for the two meat types. Do the meats have different fat contents? That is, test the null hypothesis that the means are equal vs. the alternative that they are not equal. Use alpha = 0.05. Meat 1 - 30 26 30 19 25 37 27 38 26 31 Meat 2 - 40 34 28 29 26 36 28 37 35 42

Answer 1

	Meat 1 ( X )		Meat 2 ( Y )
	30	1.21	40	42.25
	26	8.41	34	0.25
	30	1.21	28	30.25
	19	98.01	29	20.25
	25	15.21	26	56.25
	37	65.61	36	6.25
	27	3.61	28	30.25
	38	82.81	37	12.25
	26	8.41	35	2.25
	31	4.41	42	72.25
Total	289	288.9	335	272.5

Mean

Standard deviation

Mean

Standard deviation

To Test :-

H0 :-  

H1 :-  

Test Statistic :-

t = -1.8418

Test Criteria :-
Reject null hypothesis if


Result :- Fail to Reject Null Hypothesis

Conclusion :- Accept Null Hypothesis

There is insufficient evidence to support the claim that the meats have different fat contents at 5% level of significance.