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

You are opening a doughnut franchise, but first, you must pass quality control on sugar glaze thickness before you can open. You randomly select 10 doughnuts from your production and send the following glaze thickness data to corporate headquarters for analysis: (units in mm)

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

At α = 0.05, your sample data must statistically demonstrate that the mean glaze thickness is at least 1.20 mm. Determine whether or not your doughnuts meet this criterion.

Corporate also demands that the mean glaze thickness not by more than 0.025 inches. What sample size would you use in order to hold the probability of selling “bad” donuts to no more than 5%? Solve this problem analytically and graphically. (Hint: this is a β question)

Please solve by hand and not in Excel.

Expert Solution

a)

	1.21
	1.25
	1.23
	1.21
	1.28
	1.22
	1.27
	1.29
	1.2
	1.26

mean	1.242
sd	0.032249

milcah answered 1 year ago

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