Question

Ice Cream Cones ~ McDonald’s takes pride in their quality service and want to ensure that the ice cream cones they sell are not underweight.

It is known that the weights of the ice cream cones sold at McDonald’s follow a normal distribution with mean 4.7920 ounces and standard deviation of 1.04 ounce.

A quality assurance technician regularly takes random samples of 15 ice cream cones from McDonald’s and weigh them. If the sample mean weight of the ice cream cones is less than 4.1 ounces, then the technician will inform the duty manager to check with the supplier of the ice cream cones.

Let μ denote the actual population mean weight of the ice cream cones. The hypotheses for this testing situation are:

H0: μ = 4.7920 vs  HA: μ < 4.7920.

Note: Numbers are randomized for each instance of this question. Use the numbers given above.

What is the power for this hypothesis test, using the decision rule given above, if the population mean weight of ice cream cones is 3.5254 ounces? Give your answer to 4 decimal places.

Answer 1

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