It is known that the “Stats is Awesome” webpage takes on average 7 seconds to load (µ = 7) with a population standard deviation of 2 seconds (σ = 2).
(a) What is the probability that the loading time will be less than 3 seconds? [2 marks]
(b) What is the probability that the loading time will be between 6 and 9 seconds? [4 marks]
It is known that the “Stats is Awesome” webpage takes on average 7 seconds to load...
John drives to work each morning and the trip takes an average of µ = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of σ = 3 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes? A .0.6554, B 0.3413, C 0.8413, D 0.1587
A service counter manager wishes to ensure that an average of 16 seconds to serve a customer. In order to analyse the efficiency of the service process, he takes a random sample of 56 customers. The mean service time of the sample is 15.8 seconds. Assume that the population standard deviation is 0.8 seconds. (i) State the null and the alternative hypotheses for the test. [2 marks] (ii) Test the manager's concern at α=0.05. [6 marks] (iii) What recommendation can...
stats question. solve correctly for thumbs up. Assume that 9 mechanics are randomly selected to measure the time (in seconds) they take in rotating a tire of a certain car model. It is known that distribution of all such times approximately normal. What is the probability that the average time of these 9 mechanics exceeded the population mean time by 5 seconds (the sample variance is 40 seconds)? select correct option: 0.0226 0.0089 0.9774 0.9911
A} According to a survey, it takes .7 second to download the home page website. Suppose that the download time was normally distributed with a standard deviation of .2 seconds. If you select a random sample of 23 download times, the probability is 89% that the sample mean is less than what value?
A laptop manufacturer finds that the average time it takes an employee to load a laptop with software is 30 minutes with a standard deviation 7 minutes. Suppose you take a random sample of 81 employees. The standard deviation of the sample mean is:
A car manufacturer has determined it takes an average time of 58 minutes to produce a car. The population standard deviation is assumed to be 7 minutes. The company pays a bonus to the workers for every car produced in 49 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. (Round all probabilities to four decimals and times to two decimals) a) What is...
A car manufacturer has determined it takes an average time of 51 minutes to produce a car. The population standard deviation is assumed to be 7 minutes. The company pays a bonus to the workers for every car produced in 43 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X- production time of a randomly selected car. (Round probabilities to four decimals and times to two decimals.) a) What is the probability...
A class has 136 students. The time it takes to grade one exam paper is on average 3 minutes and has standard deviation 90 seconds. Estimate the probability that it will take less than 7 hours for one person to grade all of the exams.
Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was less than 30 minutes?
A car manufacturer has determined it takes an average time of 53 minutes to produce a car. The population standard deviation is assumed to be 7 minutes. The company pays a bonus to the workers for every car produced in 45 minutes or less. Assuming that the production time is normally distributed, answer the following questions. Let X = production time of a randomly selected car. (Round probabilities to four decimals and times to two decimals.) a) What is the...