The production manager of a certain type of electrical component wants to improve the performance of his workers. He took a random sample of 10 workers and measured the time required (in minutes) to assemble a part. Unhappy with the results, he sent all his workers on a one-month training course, and on their return carried out another series of random measurements on 10 of his workers. He collected the following data.
able[[Assembly time before and after the course],[Before,After],[32,35],[37,31],[35,29],[29,25],[41,34],[45,40],[35,27],[32,32],[34,31],[27,30]]
The difference in assembly times is assumed to be normally distributed.
a- Formulate the hypotheses to be tested.
b- Perform this test at a significance level of 5%.
c- Present your conclusion taking account of the context.
The production manager of a certain type of electrical component wants to improve the performance of his workers. He took a random sample of 10 workers and measured the time required (in minutes) to assemble a part. Unhappy with the results, he sent all his workers on a one-month training course, and on their return carried out another series of random measurements on 10 of his workers. He collected the following data.
Assembly time before and after the course Before After 32 35 37 31 35 29 29 25 41 34 45 40 35 27 32 32 34 31 27 30
The difference in assembly times is assumed to be normally distributed.
a- Formulate the hypotheses to be tested.
b- Perform this test at a significance level of 5%. c- Present your conclusion taking account of the context.