Weights for a certain species of newt are normally distributed with a mean of 51 grams and standard deviation 6 grams. The bell curve below represents the probability distribution for newt weights. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes. = 51 9=0 The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 45 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 95% of the widget weights lie between oz and b) What percentage of the widget weights lie between 30 and 55 ounces? c) What percentage of the widget weights lie below 50 ? Question Help: Video % % OZ The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the Empirical Rule rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 54? Do not enter the percent symbol. ans = % The results of a common standardized test used in psychology research is designed so that the population mean is 130 and the standard deviation is 20. A subject earns a score of 102. What is the z-score for this raw score? Z-score = The results of a common standardized test used in psychology research is designed so that the population mean is 175 and the standard deviation is 10. A subject earns a score of 171. What is the z-score for this raw score? Z-Score = On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. Round all your answers to 2 decimal places if necessary. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person's IQ is over 116. c. A school offers special services for all children in the bottom 4% for IQ scores. What is the highest IQ score a child can have and still receive special services? d. Find the Inter Quartile Range (IQR) for IQ scores. Q1: Q3: IQR: