1. Marine biologists have noticed that the color of theoutermost growth band on a clam tends to be related to the time ofthe year in which the clam dies. A biologist conducted a smallinvestigation of whether this is true for the species Protothacastaminea. She collected a sample of 78 clam shells from the speciesand classified them according to the month when the clam died andthe color of the outermost growth band. The data are providedbelow:

Color

Clear Dark Unreadable

February 9 25 7

March 15 18 4

Is there a significant difference in the color distributionbetween clams that died in February and March? Show your work andinclude all steps for full credit. Make sure all assumptions aremet. (4pts)

2. The Wisconsin Fast Plant (Brassica campestris) has a veryrapid growth cycle that makes it particularly well-suited forstudying factors that affect plant growth. A random sample ofplants was treated with the substance Ancymidol and compared acontrol group of plants that was given ordinary water. The heightsof all of the plants were measured (in cm) after two weeks ofgrowth:

Ancymidol 7.7, 12.8, 5.5, 19.0, 13.1, 8.2, 14.3

Control 19.2, 14.3, 21.2, 9.2, 20.4, 19.7

Conduct the appropriate test to determine if there is adifference in plant height after two weeks of growth if plants weregiven Ancymidol compared to water. Include all steps for fullcredit. (4pts)