Answer to Question #350911 in Statistics and Probability for Shadow

Question #350911

1. A magazine conducted a survey about the sleeping time of adults. A random sample

of 12 adults were chosen from the adults travelling to work on a train.

a. Give reason why this is an unsatisfactory sample for the purpose of the study.

b. State a population for which this sample would be satisfactory.


2. A machine is designed to make paperclips with mean mass 4.00g and standard

deviation 0.08. The distribution of the masses of the paperclips is normal. A quality

controller weighs a random sample of 25 paperclips and find their total mass to be

101.2g.

a. Describe the use of hypothesis testing in real world.

b. Conduct a hypothesis test at 5% significance level to test whether this provides

evidence of an increase in the mean mass of the paperclips.


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