A producer of printed circuit boards (PCBs) wishes to estimate the scoring depth of their circuits....

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A producer of printed circuit boards (PCBs) wishes to estimate the scoring depth of their circuits. To this end, they have collected 45 samples of measured depths. The mean and standard deviations of these samples is 0.165 mm and 0.022 mm respectively. (a) Find a 95% confidence interval for the true score depth. (b) Create a plot showing the dependence of the size of the confidence interval (p) on the confidence level (7) ranging from 0 to 1. Keep the sample size fixed at 45. (c) Create a plot showing the dependence of the size of the confidence interval on the sample size ranging from 1 to 100. Keep the confidence level fixed at 0.95. (Here you can assume normality even where N<30). (d) What is the confidence level for the interval μy [0.157, 0.167]? (e) Create a plot showing the pdf of the sample mean and with the area computed above shaded in. Hint: plt.fill-between. A producer of printed circuit boards (PCBs) wishes to estimate the scoring depth of their circuits. To this end, they have collected 45 samples of measured depths. The mean and standard deviations of these samples is 0.165 mm and 0.022 mm respectively. (a) Find a 95% confidence interval for the true score depth. (b) Create a plot showing the dependence of the size of the confidence interval (p) on the confidence level (7) ranging from 0 to 1. Keep the sample size fixed at 45. (c) Create a plot showing the dependence of the size of the confidence interval on the sample size ranging from 1 to 100. Keep the confidence level fixed at 0.95. (Here you can assume normality even where N<30). (d) What is the confidence level for the interval μy [0.157, 0.167]? (e) Create a plot showing the pdf of the sample mean and with the area computed above shaded in. Hint: plt.fill-between.

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Confidence Interval and Sample Size Analysis for PCB Score Depth Data Sample size n 45 Sample mean x 0165 mm Sample standard deviation s 0022 mm a 95 Confidence Interval for True Score Depth We can us... View the full answer