frequency distribution, the percentage of samples have S.G. less * .than 2.75 is 95%
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- The Amercian Water Works Association reports that the per capita water use in a single family home is 69 gallons per day. A new housing development agency had builders intall more efficient water fixtures and conducted a survey of residents. 36 residents responded and the sample mean water use was 64 galons with a SD of 8.8 gallons per day. At the 0.10 level of significance, is that enough evidence to conclude that these residents surveyed are using less water on average ?Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?Suppose the flow of current (milliamps) in wire strips of a certain type under specified conditions can be modeled with a normal distribution having µ=20 and σ =1 (think about how the corresponding density curve relates to the standard normal curve). What proportion of strips will have a current flow of between 18.5 and 22 milliamps? What proportion of strips will have a current flow exceeding 15 milliamps? How large must a current flow be to be among the largest 5% of all flows?
- In kurtosis, the bell shaped distribution called mesokurtic if the frequency looks more peaked than normal. True or false?Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. h. Find the minimum for the upper quartile.The company that manufactures car engine spark plugs has stated in its test that the durability of the plugs follows the normal distribution N(45000 km, 1600 km). After how many driving kilometers do the plugs have to be replaced if we want to be 99.9% sure that the plugs will not broken before replacement? Show your calculations in Excel cells, and justify calculations.
- The existing machine setting of a factory produces bearings with a diameter that is normally distributed with mean and standard deviation equal to 3.0005 cm and 0.0010 cm, respectively. Customer specifications require the bearing diameters to lie in the interval [2.998, 3.002]. Those outside the interval are considered scrap and must be re-machined. With the existing machine selling, what fraction of total production will not be considered scrap?During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed.Today, the waves are crashing onto the beach every 5.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.8 seconds. Round to 4 decimal places where possible. The probability that the wave will crash onto the beach between 0.9 and 3.4 seconds after the person arrives is P(0.9 < x < 3.4) = Find the minimum for the upper quartile. seconds.