Question

1. Since the Depression-era, grilled stickies have been a comfort-food, port-in-the-ivory-tower-storm for students, townies and alumni alike at Penn State University. The chef has been baking them for so long that he knows that the buns have a mean caloric value of 180 calories. A multinational corporation bought the recipe from the diner in hopes of mass producing them for the world to enjoy. During a manufacturing trial run, the quality control team randomly chose 6 buns and measured their caloric value and they are as follows:

179.0, 181.6, 178.8, 179.5, 180.8, 178.3

The plant manager is interested in determining if the sample shows evidence that the mean caloric value is significantly less than the buns the original chef baked. Conduct a hypothesis test using a = 0.05. Assume the caloric value per bun to be normally distributed.

Answer 1

	Values ( X )
	179	0.4445
	181.6	3.7376
	178.8	0.7512
	179.5	0.0278
	180.8	1.2844
	178.3	1.8679
Total	1078	8.1134

Standard deviation

To Test :-

H0 :-

H1 :-

Test Statistic :-


t = -0.6409

Test Criteria :-
Reject null hypothesis if   


Result :- Fail to reject null hypothesis

Conclusion :- Accept null hypothesis

There is no sufficient evidence to support the claim that the mean caloric value is significantly less than the buns the original chef baked.