Question 6 24 pts For each of the following, identify both the parameter and the statistic using appropriate notation. a) The researchers want to know the mean income of the subscribers to a particular magazine. From a random sample of 100 subscribers, the researchers determine the mean income is $27,500. Use the table below to ll in the blanks: Homlon TYPE III word (all bur case) The parameter ofinterest u mu A Single mean f xbar P P B Single proportion g\" ghat . . C Difference in means 9 rho r r I) Di'erence in proportions a sigma s 5 E Correlation p, 3.12 mul-muZ fl - 3 xbarlxbarz P1 ' P: P1'P2 351 ' iaz phati-phatz The parameter of interest: (Type the capital letter from options above) The notation of the parameter: (Type in words) The notation of the statistic: = $ b) An education official wants to estimate the proportion of adults aged 18 or older who had read at least one book during the previous year. A random sample of 1006 adults aged 18 or older is obtained, and 835 of those adults had read at least one book during the previous year. Notation Type in word (all lower case) The parameter of interest mu A Single mean xbar p p B Single proportion p phat C Difference in means p rho D Difference in proportions sigma S Correlation H1 - Hz mu1-mu2 X1 - X2 xbar1-xbar2 P1 - P2 p1-p2 P1 - P2 phat1-phat2 The parameter of interest: (Type the capital letter from options above) The notation of the parameter: (Type in words) The notation of the statistic: round the answer to 2 decimal places)c) Researchers are interested in the difference in the proportion of cell phone users who use text messages, between adults (18 yo and older) and teens. A study of 2252 adults found that 72% of cell phone users send and receive text messages. Another study of 800 teens found that 87% of teen cell phone users send and receive text messages. Assume a sample statistic is group 1 (a group of adults 18 yo and older] minus group 2 (a group of teens.) Nomlun In word all lower use The eter of interest Single mean Single proportion Di'erence in means Di'erence in proportions m D ("J W 9' Correlation The parameter of interest: (Type the capital letter from options above) The notation of the parameter: (Type the words) The notation of the statistic: = d) Researchers are interested in the difference between the mean body temperatures for males and females. A study of 130 adults found the average temperature for females was 98.105 while the average temperature for males was 98.394. Assume the statistic is group 1 (a group of males) minus and group 2 (a group of females.) The meter of interest Single mean Single proportion Di'erence in means Dierence in proportions I'I'IUODJD- Correlation the parameter at tntereet - The notation of the parameter: The notation of the statistic: =