Consider a manufacturing process that is producing hypodermic...

Question

# Consider a manufacturing process that is producing hypodermic...

1. Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need to have a diameter of 1.65 mm—too big and they would hurt the donor, too small and they would rupture the red blood cells, rendering the donated blood useless. Thus, the manufacturing process would have to be closely monitored to detect any significant departures from the desired diameter. During every shift, quality control personnel take a random sample of several needles and measure their diameters. If they discover a problem, they will stop the manufacturing process until it is corrected. Suppose the most recent random sample of 35 needles have an average diameter of 1.64 mm and a sample standard deviation of 0.07 mm. Also, suppose the sample distribution is not strongly skewed.

1. (3 pts) Can we use theory-based approach for calculating the confidence interval? Explain.

1. (4 pts) Find a 95% confidence interval for the average diameter of needles produced by this manufacturing process. Show all your work.

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10,000 step-by-step explanations

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## Step-by-step explanation

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