18 The data below shows the name and age (in years) of popular women in the USA. (a) Generate the descriptive statistics for the data shown below. (b) What does the mean age and median age indicate about the skewness of the data for age? (c) Generate a list of 400 random numbers. (d) Use the list of random numbers generated to select a simple random sample of 10 women with their corresponding age. (e) Generate descriptive statistics for the sample of 10 women selected? (f) Select a sample of 10 women with their corresponding age using systematic random sampling method. Additionally, the random start for the sample should be taken from the list of random numbers generated in (c). (g) Generate descriptive statistics for the sample obtained in question (f) above. (h) Calculate the bias for both sampling methods used? (Compare the population mean age with the mean age of the sample) (i) In your opinion, of the two sampling methods used, which one is the better estimate of the population mean age? Table: Ages of popular women I NAME AGE NAME AGE NAME AGE Carly Fiorina 48 Judy Lewent 53 Carol Tome 45 Betsy Holden 46 Marjorie Magner 53 Marion Sandler 71 Meg Whitman 46 Ann Livermore 44 Louise Francesconi 49 Indra Nooyi 46 Cathleen Black 58 Vanessa Castagna 53 Andrea Jung 44 Doreen Toben 52 Larree Renda 44 Anne Mulcahy 49 Amy Pascal 44 Dawn Lepore 48 Karen Katen 53 Vivian Banta 52 Fran Keeth 56 Pat Woertz 49 Janet Robinson 52 Heidi Miller 49 Abigail Johnson 40 Pam Strobe 50 Oprah Winfrey 48 Dina Dublon 49 Ann Moore 52 Nancy Peretsman 48 Judy McGrath 50 Susan Arnold 48 Colleen Barrett 58 Mary Kay Haben 46 Shelly Lazarus 55 Deb Henretta 41 Pat Russo 50 Carole Black 59 Betsy Bernard 47 Jamie Gorelick 52 Amy Brinkley 46 Marce Fuller 42 Lois Juliber 53 Kathi Seifert 53 Sherry Lansing 58 Anne Sweeney 44 Stacey Snider 41 Marilyn C. Nelson 63