9. Lobster The table gives the numbers of two types of barnacles, A and B, on each of 10 lobsters.

14 Does it appear that the barnacles compete for space on the surface of a lobster

a. If they do compete, do you expect the number x of type A and the number y of type B barnacles to be positively or negatively correlated? Explain.

b. If you want to test the theory that the two types of barnacles compete for space by conducting a test of the null hypothesis “the population correlation coefficient r equals 0,” what is your alternative hypothesis?

c. Conduct the test in part b and state your conclusions.

Transcribed Image Text:

Lobster Field Number Type A Type B A061 645 6 A062 320 23 A066 401 40 A070 364 9 A067 327 24 A069 73 5 A064 20 86 A068 221 0 A065 3 109 A063 5 350