Question

Assignment6: Hypothesis testing

Exercise1 Acomponent’s mean life is supposed to be1000 hours, now we randomly select 25 components out of 2000 components and obtain a mean life of 950 hours, prior study shows that these 2000 components follow a normal distribution with standard deviation of 100 hours.

1.Construct your hypothesis testing ,is this a two -tailed test or a none-tailed test?

2.Conduct your hypothesis testing under the confidence level of 5%, using both classical and P-value approach.

3.State your conclusion.

Exercise2 The mean proportion of water in a one solvent is supposed to be 0.5%, now we take a random sample and test out that in the sample the mean proportion of water is 0.4525 and its standard deviation is 0.035%.

1.Construct your hypothesis testing, is this a two-tailed test or a none-tailed test?

2.Conduct your hypothesis testing under the confidence level of 5%,using both classical and P-value approach.

3.State your conclusion.

Answer 1

Exercise 1

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2)

3)

We are allowed to solve one question only.