Question

A shipment of 1000 baby lab mice arrives at the animal care facility with a nominal weight of 12 g per mouse. A sample of mice is selected and weighed. The average weight of the sample is 11.4 g. From past shipments, it is known that the standard deviation of weight among mice is 3 g. The technician wishes to test the hypothesis that the average weight of the mice matches the nominal value vs. that the mice are underweight at a=0.05

. The p-value for the test was 0.051. Which of the following is correct?

A. If the nominal weight were correct, there is a 5.1% chance that the sample weight would be 11.4 g (or less).

B. 5.1% of mice are underweight.

C. There is a 5.1% chance that the mean weight of the mice is 11.4 g.

D. There is a 5.1% change that the nominal weight of 12 g is more than the sample mean of 11.4 g.

Answer 1

The correct answer is:

OPTION A

The P-value is the probability of finding the observed, or more extreme, results when the null hypothesis (H0) of the research question is true. In this scenario, the null will be true if the nominal weight were correct. There is a 5.1% chance that the sample weight would be 11.4 g(more extreme value)

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