1) A cola-dispensing machine is set to dispense 330cc. The quantities dispensed vary and are normally distributed with mean 330cc and standard deviation 12cc. What is the probability that a randomly selected container will have less than 290cc?

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MATH-221: Assignment 4
1) A cola-dispensing machine is set to dispense 330cc. The quantities dispensed vary
and are normally distributed with mean 330cc and standard deviation 12cc. What is
the probability that a randomly selected container will have less than 290cc?
2) The scores of a college entrance test are normally distributed with mean 400 points
and standard deviation 36 points. What percent of the students who took the test
scored below 350 points?
3) The hourly cost to operate a commercial airplane follows the normal distribution
with mean €2500 and standard deviation €200. What is the hourly operating cost
for the lowest 2 percent of the airplanes?
Transcribed Image Text:MATH-221: Assignment 4 1) A cola-dispensing machine is set to dispense 330cc. The quantities dispensed vary and are normally distributed with mean 330cc and standard deviation 12cc. What is the probability that a randomly selected container will have less than 290cc? 2) The scores of a college entrance test are normally distributed with mean 400 points and standard deviation 36 points. What percent of the students who took the test scored below 350 points? 3) The hourly cost to operate a commercial airplane follows the normal distribution with mean €2500 and standard deviation €200. What is the hourly operating cost for the lowest 2 percent of the airplanes?
1) A random sample of 45 restaurants gave a mean profit per employee of €350. The
population standard deviation is known and its value is €55. Find the 95%
confidence interval for the mean profit per employee for all restaurants.
2) A power company is promoting high-efficiency bulbs by giving a rebate to all buyers
of such bulbs. The service desk manager knows that the employee time required to
process such a rebate follows the normal distribution. The manager monitored a
random sample of 16 rebate processes and measured the employee time spent for
each. The sample mean was 3.7 minutes and the sample standard deviation was 1.7
minutes. Compute the 99% confidence interval for the mean employee time required
to process all of these rebates
Transcribed Image Text:1) A random sample of 45 restaurants gave a mean profit per employee of €350. The population standard deviation is known and its value is €55. Find the 95% confidence interval for the mean profit per employee for all restaurants. 2) A power company is promoting high-efficiency bulbs by giving a rebate to all buyers of such bulbs. The service desk manager knows that the employee time required to process such a rebate follows the normal distribution. The manager monitored a random sample of 16 rebate processes and measured the employee time spent for each. The sample mean was 3.7 minutes and the sample standard deviation was 1.7 minutes. Compute the 99% confidence interval for the mean employee time required to process all of these rebates
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