The undrained shear strength of a clay has a mean value of 44.85 kN/m² and a standard deviation of 6.56 kN/m². Fit these values to a normal distribution.
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- While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 1.50 m and 5.50 m. What is the standard deviation of the water depth?A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution from 6 ounces to 10 ounces, the standard deviation of the amount of water dispensed is:A major department store has determined that its customers charge an average of $500 per month, with a standard deviation of $80. Assume the amounts of charges are normally distributed. What percentage of customers charges exactly $380 per month?
- Find the most probable value and standard deviation of the measured length.the heights of adult men on an island in the pacific are approximately normal with an average height of 162 centimeters with a standard deviation of 2 centimeters. what percentage of men have a height between 158 and 166 centimetersA lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the life of the lightbulb is normally distributed. what percentage of the lightbulbs will last less than 1250 hours
- Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for six specimens under specified conditions, and the resulting mean and standard deviation were 306.09 Newtons and 41.97 Newtons respectively. Assuming that it is reasonable to believe that breaking force under these conditions has a distribution that is approximately normal, estimate the mean breaking force for acrylic bone cement under the specified conditions using a 95% confidence interval.The weights of adult California Condors average 14.8lbs with a standard deviation of 3.25lbs. Approximately what percent of California Condors weigh between 5.05 and 11.55 pounds?