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You are opening a doughnut franchise, but first, you must pass quality control on sugar glaze...

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Basic Math

You are opening a doughnut franchise, but first, you must passquality control on sugar glaze thickness before you can open. Yourandomly select 10 doughnuts from your production and send thefollowing glaze thickness data to corporate headquarters foranalysis: (units in mm)

1.21, 1.25, 1.23, 1.21, 1.28, 1.22, 1.27, 1.29, 1.20, 1.26

  1. At α = 0.05, your sample data must statisticallydemonstrate that the mean glaze thickness is at least1.20 mm. Determine whether or not your doughnutsmeet this criterion.
  1. Corporate also demands that the mean glaze thickness not bymore than 0.025 inches. What sample size would youuse in order to hold the probability of selling “bad” donuts to nomore than 5%? Solve this problem analytically and graphically.(Hint: this is a β question)

Please solve by hand and not in Excel.

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