Find the length of time above which we find 20% of the slowest trips
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A lawyer goes every day from his home in the suburbs to his downtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume that the distribution of travel times is
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- A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 315. The test scores of four students selected at random are 1890, 1210, 2200, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is. (Round to two decimal places as needed.).The average age of Amtrak passenger train cars is about 20 years. If the distribution of ages is normal and 10% of the cars are older than 24 years, find the the standard deviation.Jack's clothing sells on average, 25 shirts per week, sometimes a little more, sometimes a little less but typically a deviation of about 3. The cost per jacket is $65. Because Jack's is located in a sketchy part of town their insurance on inventory is 33% on all goods. The good news is free shipping to customers although UPS charges Jack's $8.50 for every delivery. It takes 2 weeks from the time jackets are ordered until they are received. Jack's supplier has said they only ship by pallet, and each pallet contains 75 jackets. If the reorder point is 50 what is the average flow time?
- A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1544 and the standard deviation was 314.The test scores of four students selected at random are 1940, 1290, 2250,and 1420.Find the z-scores that correspond to each value and determine whether any of the values are unusual. (Round to 2 decimal places as needed.)A soft drink vending machine is set to serve an average of 259 milliliters per glass. If the amount of drink is normally distributed with a standard deviation equal to 18 milliliters, how many glasses on average will be spilled if 277 milliliter glasses are used for the next 1080 drinks?Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
- A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 317. The test scores of four students selected at random are 1900,1200,2200,and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual.Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3095 dollars to drill a well regardless of its depth. Company B charges 1180 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 240 feet and a standard deviation of 35 feet. Find the mean amount charged by Company B to drill a well. Enter the exact answer. μ = i dollars
