Extinct New Zealand birds. Refer to the Evolutionary Ecology Research (July 2003) study of the patterns of extinction in the New Zealand bird population, presented in Exercise 2.20 (p. 37). Consider the data on the egg length (measured in millimeters) for the 132 bird species saved in the NZBIRDS file. a. Find the mean and standard deviation of the egg lengths. b. Form an interval that can be used to predict the egg length of a bird species found in New Zealand. Exercise 2.20 Extinct New Zealand birds. Refer to the Evolutionary Ecology Research (July 2003) study of the patterns of extinction in the New Zealand bird population, Exercise 1.18 (p. 19). Data on flight capability (volant or flightless), habitat (aquatic, ground terrestrial, or aerial terrestrial), nesting site (ground, cavity within ground, tree, or cavity above ground), nest density (high or low), diet (fish, vertebrates, vegetables, or invertebrates), body mass (grams), egg length (millimeters), and extinct status (extinct, absent from island, or present) for 132 bird species that existed at the time of the Maori colonization of New Zealand are saved in the NZBIRDS file. Use a graphical method to investigate the theory that extinct status is related to flight capability, habitat, and nest density. Exercise 1.18 Do you believe in the Bible? In its annual General Social Survey (GSS), the National Opinion Research Center (NORC) elicits the opinions of Americans on a wide variety of social topics. One question in the survey asked about a person’s belief in the Bible. Data for the approximately 2,800 Americans who participated in the 2004 GSS are saved in the BIBLE file. Each respondent selected from one of the following answers: (1) The Bible is the actual word of God and is to be taken literally; (2) the Bible is the inspired word of God, but not everything is to be taken literally; (3) the Bible is an ancient book of fables; and (4) the Bible has some other origin, but is recorded by men. The variable “Bible1” contains the responses. (Note: A response value of 8 represents “Don’t Know”; a value of 9 represents a missing value.) a. Summarize the responses to the Bible question in the form of a relative frequency table. b. Summarize the responses to the Bible question in a pie chart. c. Write a few sentences that give a practical interpretation of the results shown in the summary table and graph.