Cars pass an automatic speed check device that monitors 2,000 cars on a given day. This...
Cars pass an automatic speed check device that monitors 2,000 cars on a given day. This population of cars has an average speed of 67 miles per hour with a standard deviation of 2 miles per hour. If samples of 30 cars are taken, what is the probability a given sample will have an average speed within 0.50 mile per hour of the population mean?
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Cars pass an automatic speed check device that monitors 2,000
cars on a given day. This...
To determine the wind speed in a certain location, 20 samples are taken in a limited...
To determine the wind speed in a certain location, 20 samples are taken in a limited period of time. The average value of the measurements is 20 miles per hour, and the standard deviation of the sample is 2 miles per hour. The 95% confidence interval for the mean value of the wind speed is 20 +/-
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(_____,______) b. If one car is randomly chosen, find the probability that it is traveling more than 69 mph. ________ c. If one of the cars is...
The Highway Safety Department wants to study the driving habits of individuals. A sample of 81...
The Highway Safety Department wants to study the driving habits of individuals. A sample of 81 cars traveling on the highway revealed an average speed of 67 miles per hour with a standard deviation of 9 miles per hour. a. Compute the standard error of the mean. b. Determine a 99% confidence interval estimate for the speed of all cars.
The fuel consumption, in miles per gallon, of all cars of a particular model has a...
The fuel consumption, in miles per gallon, of all cars of a particular model has a mean of 90 and a standard deviation of 12. The population distribution can be assumed to be normal. A random sample of these cars is taken. (a) What is the sampling distribution of the sample means? (b) Find the probability that sample mean fuel consumption will be fewer than 75 miles per gallon if: i. a sample of 1 observation is taken. ii. a...
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with...
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with a mean of 190 minutes and a standard deviation of 23 minutes. If Jim fail to win 80% of runners in Brooklyn half marathon, what is the finish time that Jim complete this race? 6. The General Electric claims that 100-watt light bulbs have normal distribution with a mean of 750 hours and a standard deviation of 60 hours. Find the probability that the...
A grocery stores studies how long it takes customers to get through the speed check lane....
A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than 10 minutes, the customer will be upset. Find the probability that a randomly selected customer takes more than 10 minutes if the average is 7.45 minutes with a standard deviation of 1.04 minutes. 0.007 0.071 0.993 0.501 The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and...
(3 points) The Highway Safety Department wants to study the driving habits of individuals. A sample...
(3 points) The Highway Safety Department wants to study the
driving habits of individuals. A sample of 28 cars traveling on a
particular stretch of highway revealed an average speed of 69.9
miles per hour with a standard deviation of 4.2 miles per hour.
Round to 4 decimal places.
1.Calculate a 95% confidence interval for the true mean speed of
all cars on this particular stretch of highway.
( , )
2. What sample size is needed to estimate the...
On a given day, the flow rate F (cars per hour) on a congested roadway is...
On a given day, the flow rate F (cars per hour) on a congested roadway is given by 7. F-10where v is the speed of the traffic in miles per hour. What speed will 16+0.02v maximize the flow rate on the road? Round your answer to the nearest mile per hour. Make sure you show that your answer is a maximum. (7 pts) 11. Set up an integral to find the volume of the solid generated by revolving the region...
Suppose that the speed at which cars go on the freeway is normally distributed with mean...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find...
On the basis of a sample of 36 cars of a given model, it appears that...
On the basis of a sample of 36 cars of a given model, it appears that the average gas mileage is 29 miles/gallon. The population of gas mileage follows a normal distribution with unknown mean μ but known standard deviation of 6 miles/gallon. What is the point estimate of O 36 miles/gallon O 35 miles/gallon 。6 miles/gallon 29 miles/gallon The average salary of doctors is unknown to a researcher. The researcher knows that the salary is normally distributed with population...
DJ NU VUJU 5. In Brooklyn half marathon, the finish time is approximately normally distributed with a mean of 190 minutes and a standard deviation of 23 minutes. If Jim fail to win 80% of runners in Brooklyn half marathon, what is the finish time that Jim complete this race? 6. The General Electric claims that 100-watt light bulbs have normal distribution with a mean of 750 hours and a standard deviation of 60 hours. Find the probability that the...
(3 points) The Highway Safety Department wants to study the
driving habits of individuals. A sample of 28 cars traveling on a
particular stretch of highway revealed an average speed of 69.9
miles per hour with a standard deviation of 4.2 miles per hour.
Round to 4 decimal places.
1.Calculate a 95% confidence interval for the true mean speed of
all cars on this particular stretch of highway.
( , )
2. What sample size is needed to estimate the...
On a given day, the flow rate F (cars per hour) on a congested roadway is given by 7. F-10where v is the speed of the traffic in miles per hour. What speed will 16+0.02v maximize the flow rate on the road? Round your answer to the nearest mile per hour. Make sure you show that your answer is a maximum. (7 pts) 11. Set up an integral to find the volume of the solid generated by revolving the region...
Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find...
On the basis of a sample of 36 cars of a given model, it appears that the average gas mileage is 29 miles/gallon. The population of gas mileage follows a normal distribution with unknown mean μ but known standard deviation of 6 miles/gallon. What is the point estimate of O 36 miles/gallon O 35 miles/gallon 。6 miles/gallon 29 miles/gallon The average salary of doctors is unknown to a researcher. The researcher knows that the salary is normally distributed with population...
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