Question

The Deutsche Bahn AG receives a delivery of 10 000 sacks of construction sand with a standard weight of 50 kg, where the weight of a sack is assumed to be normally distributed. The supplier claims, that the delivery has a total weight of at least 500 000 kg. A random sample of 41 sacks taken from the delivery results in twenty times the value 48 kg, eleven times the value 49 kg and ten times the value 51 kg. Formulate the corresponding null and alternative hypothesis and test at a level of significance of 0.01 if the rejection of the delivery by the Deutsche Bahn AG would be justified by the test result.

          The Deutsche Bahn AG receives a delivery of 10 000 sacks of construction sand with a standard weight of 50 kg, where the weight of a sack is assumed to be normally distributed. The supplier claims, that the delivery has a total weight of at least 500 000 kg. A random sample of 41 sacks taken from the delivery results in twenty times the value 48 kg, eleven times the value 49 kg and ten times the value 51 kg. Formulate the corresponding null and alternative hypothesis and test at a level of significance of 0.01 if the rejection of the delivery by the Deutsche Bahn AG would be justified by the test result.

The Deutsche Bahn AG receives a delivery of 10 000 sacks of construction sand with a standard weight of 50 kg, where the weight of a sack is assumed to be normally distributed. The supplier claims, that the delivery has a total weight of at least 500 000 kg. A random sample of 41 sacks taken from the delivery results in twenty times the value 48 kg, eleven times the value 49 kg and ten times the value 51 kg. Formulate the corresponding null and alternative hypothesis and test at a level of significance of 0.01 if the rejection of the delivery by the Deutsche Bahn AG would be justified by the test result.

Added by Martin M.

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