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Probability of randomly sampling

1. For a population that is normally distributed with a mean of 100 and standard deviation of 10, what value would separate the smallest 20% of values from the next larger 80% of values?

2. A population is normally distributed with a mean of 30 and a standard deviation of 5. What is the probability of randomly sampling this population and getting a value of 25 or less? Give answer as 0.XXXX

3. Give the z value for z notation: z(0.44) Give answer as X.XX

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## Q : Perform a hypothesis test

A quality control experiment is to be done on a machine that fills tubes with toothpaste. It's specifications require that it till tubes with 4.7oz. A random sample of 40 tubes filled by the machine is taken and each tube is weighed. The resulting