Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights between 125 oz and 140 oz is:

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65 miles per​ hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 50 miles per hour and 80 miles per hour.​ (Assume the data set has a​bell-shaped distribution.)       Approximately _____% of vehicles travel between 50 miles per hour and 80 miles per hour.

A survey found that​ women's heights are normally distributed with mean 63.2in. and standard deviation 2.7in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.6.Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.   The percentage of women who meet the height requirement is (Round to two decimal places as​ needed.) b. Find the percentage of men meeting the height requirement.   The percentage of men who meet the height requirement is (Round to two decimal places as​ needed.)   c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements?   The new height requirements are at least in. and at most in. ​(Round to one decimal place as​ needed.)

Consider a sample data set with the summary statistics s = 112, Q = 58, and Qu= 203. a. Calculate lQR. b. Calculate IQR/s. c. Is the value of IQR/s approximately equal to 1.3? What does this imply? a. IQR =