A baker makes bread without messuring the dough. the weight of the bread X, is expected to be normally distrubuted with expected value µ = 2.2 kg and a standard deviation σ = 0.8. He is trying a new dough which is expected to weigh more than the normal one. He makes 10 samples (y1 y2 ......y10) for a test. the 10 samples are independent and normal distrubuted. with an unknown expectation µY and a standard deviation of 0.8. The results: bread number: weight (yi) 1: 3.7 2: 2.2 3: 1.8 4: 4.5 5: 2.4 6: 2.5 7: 2.6 8: 2.1 9: 2.5 10: 2.2 Which estimator is the best for estimation µy . Evaluate the estimte from the results. Find a 90% confidenceinterval for µy . What is the lenght of the cofidenceinterval? How many samples do we at least need for the confidenceinterval to be less than 0.2kg?
A baker makes bread without messuring the dough. the weight of the bread X, is expected to be normally distrubuted with
He is trying a new dough which is expected to weigh more than the normal one. He makes 10 samples (y1 y2 ......y10) for a test. the 10 samples are independent and normal distrubuted. with an unknown expectation µY and a standard deviation of 0.8.
The results:
bread number: weight (yi)
1: 3.7
2: 2.2
3: 1.8
4: 4.5
5: 2.4
6: 2.5
7: 2.6
8: 2.1
9: 2.5
10: 2.2
Which estimator is the best for estimation µy . Evaluate the estimte from the results. Find a 90% confidenceinterval for µy . What is the lenght of the cofidenceinterval? How many samples do we at least need for the confidenceinterval to be less than 0.2kg?
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