Perform the indicated operation for the following. 23.0556 2 15.35

Chapter 7: The Normal Distribution Random samples of data from a Normal Distribution whose mean µ = 64.5 and standard deviation σ = 2.5 Shortcut notation N(64.5,2.5). This distribution might represent heights of women from some population Smoothed out histograms whosearea under the curve is equal to 1 describe the overall pattern (distribution) of the population of data on that variable. Understand the 68 –95 –99.7 Rule on page247-248 of your text. Normal Distribution Curves(symmetricand bell-shaped) then according to the 68 – 95 – 99.7 rule: Approximately 68% of the data falls within one stdev of the mean. Approximately 95% of the data falls within two stdev of the mean. Approximately 99.7% of the data falls within three stdev of the mean. Think of std dev as atypical deviation away fromthe mean Use the 68 –95 –99.7 Rule to answer the following questions: Q1: Approximately what percent of the females had height between 59.5 and 69.5 inches Q2: Approximately what percent of the females had height lessthan 67 inches Q3: Approximately what percent of the females had height more than 72 inches Q4: The middle 95% of the heights are between ______ and ____ inches Q5: 16% of the females are taller than _____ inches Approximate answers: Q1: 95%, Q2: 84%, Q3: 0.15%, Q4: 59.5 to 69.5 inches, Q5: 67 inches Will showmore details on this in class. The 68-95-99.7 Rule gave good approximations when the distribution is normal. It then helps us think about standard deviation. For example, suppose a 100-