Activity F5 Solve Normal Distribution Application Name For full credit you must give a detailed solution. You should show your steps and/or explain your reasoning. You must put your name at the top of this page and use complete sentences when explaining. Part 1 Familiarize yourself with the following data. In 1955, scientists R.R. Sokal and P.E. Hunter analyzed the effects of pesticides on houseflies. Among the data sets they collected were samples of housefly wing lengths. These are normally distributed. The data they collected is summarized in the following frequency distribution. length (x. 1mm) Normally Distributed Housefly Wing Lengths frequency Length (x. 1mm) 36 frequency 52 $7 53 54 55 40 41 12 43 45 10 10 47 19 51Source: Sokal, R.R. and F.J. Rohlf, 1968. Biometry, Freeman Publishing Co., p 109. Original data from Sokal, R.R. and P.E. Hunter. 1955. A morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc. Amer. 48: 499-507. Part 2: Answer the following a. Find the mean and standard deviation of the sample of housefly wing lengths. (2 points) b. List the data values that are within 2 standard deviations of the mean. Justify your answer. (2 points) C. What percentage of the data values are within 2 standard deviations of the mean? (2 points) d. Is this consistent with the Empirical Rule? Explain. (2 points)