A survey found that women's heights are normally distributed with mean 63.9 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 69.4 in. and standard deviation 3.5 in. Consider an executive jet that seats six with a doorway height of 55.7 in. Complete parts (a) through (c) below. a. What percentage of adult men can fit through the door without bending? The percentage of men who can fit without bending is D96 (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer

Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L. d) What is the relative discrepancy between the measured value of L and its true value? Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm. e) Is this value more or less precise than the first value? f) Is this value more or less accurate than the first value? g) Do the two values agree given their uncertainties? h) What is the relative discrepancy between the two values?

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

For the normal distribution of adult males in North America (mean=70.0 inches, standard deviation=4.0 inches), find the proportion of those who are  a) under 65 inches b) over 76 inches c) between 67 and 73 inches