A federal agency responsible for enforcing laws governing weights and measures r

Question

A federal agency responsible for enforcing laws governing weights and measures routinely inspects packages to determine whether the weight of the contents is as advertised on the package. The agency will only take action if there is strong evidence that the packages are underfilled. A random sample of 14 containers was taken and the contents weighed, with the weights given below. The containers are labeled to have 9 ounces. In your role as a member of this federal team, you are to specify and carry out an appropriate hypothesis test to determine whether there is enough evidence to support this claim. (Use a 9% significance level. You may assume that the population is normally distributed.)

8.81 8.82 9.15 9.1 9.04 9.03 9.14

8.73 9.11 8.93 9.04 8.56 8.79 8.6

A. The value of the standardized test statistic:

B. The p-value is

Explanation / Answer

One-Sample T: weight

Test of = 9 vs 9

Variable N Mean StDev SE Mean 91% CI T P
weight 14 8.9179 0.1996 0.0533 (8.8202, 9.0156) -1.54 0.148

A. The value of the standardized test statistic: -1.54

B. The p-value is 0.148

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