Question and answer key 3 A machine is designed to make paperclips with mean mass 4.00 g and standarddeviation 0.08 g. The distribution of the masses of the paperclips is normal. Find(i) the probability that an individual paperclip, chosen at random, has massgreater than 4.04 g(ii) the standard error of the mass for random samples of 25 paperclips(iii) the probability that the mean mass of a random sample of 25 paperclips isgreater than 4.04g.A quality control officer weighs a random sample of 25 paperclips and findstheir total mass to be 101.2g.(iv) Conduct a hypothesis test at the 5% significance level of whether thisprovides evidence of an increase in the mean mass of the paperclips. Stateyour null and alternative hypotheses clearly. (i) 0.3085(ii) 0.016(iii) 0.0062(iv) H,: H = 4.00 g, H,: µ > 4.00 g%3Dz = 3, significant3

Name: Question and answer key 3 A machine is designed to make paperclips wit
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Question and answer key 3 A machine is designed to make paperclips with mean mass 4.00 g and standarddeviation 0.08 g. The distribution of the masses of the paperclips is normal. Find(i) the probability that an individual paperclip, chosen at random,