Find the z value and cumulative probability

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1. Find the z value and cumulative probability that a random number chosen from the distribution is less than or equal to 600 (target value = 600) for a normal distribution of mean 400 and standard deviation of 100.

2. Find the z value and cumulative probability that a random number chosen from the distribution is less than or equal to 300 (target value = 300) for a normal distribution of mean 200 and standard deviation of 50.?

3. An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0liter and a standard deviation of 0.01 liter. Output is monitored using means of samples of 9 observations. Determine the upper control limit for a two sigma control process.

Reference no: EM132237632

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