Question

1. The meat department of a local supermarket chain packages ground beef in trays of two sizes. The smaller tray is intended to hold 1 kilogram (kg) of meat. A random sample of 30 packages in the smaller meat tray produced weight measurements with an average of 1.01 kg and a standard deviation of 20 grams.

p-value=

2. Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendinopathy (AT), an inflammation and thickening of the Achilles tendon. A study looked at the diameter (in mm) of the affected tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.98 millimeters (mm). When the diameters of the affected tendon were measured for a random sample of 31 patients, the average diameter was 9.80 with a standard deviation of 1.96 mm. Is there sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.98 mm? Test at the 5% level of significance.

test statistic: z=

rejection region: z > =

z < =

Answer 1