Q1 Suppose the lengths of telephone calls from a normal distribution with a mean length of 8 0 minutes and a standard deviation of 2.5 minutes. The probability that a telephone call selected at random will last more than 15.5 minutes is most nearly: a. p = 0.9987 b. p = 0.0013 c. p = 0.26 d. p = 0.0026 ===================================================================
Q2 A manufacturer of car batteries claims that the life of his batteries is approximately normally distributed with a mean life of 7 years and a standard deviation equal to 2 year. What is the probability that a battery last between 1 and 13 years? a. p = 0.99 b. p = -0.9974 c. p = 0.9974 d. p =0.74 ===================================================================
Q3 A manufacturing engineer takes 20 samples from a manufacturing process to verify if the production complies with a quality standard. The probability of a product quality defect is 0.03. What is the probability of finding more than 18 of the samples with quality defects? a. 0.0 b. 0.77 c. 0.51 d. 0.34 ===================================================================
Q4 On average a certain intersection results in 6 traffic accidents per month. What is the probability that for any given month at the intersection at least one (1) accident will occur? a. 0.95 b. 0.25 c. 0.75 d. 0.9975
Q1 Suppose the lengths of telephone calls from a normal distribution with a mean length of...
Question 4 A manufacturer of car batteries claims that the life of his batteries is approximately normally distributed with a mean life of 7 years and a standard deviation equal to 2 year. What is the probability that a battery last between 1 and 13 years? a. p = 0.9974 b. p =0.74 c. p = 0.99 d. p = -0.9974
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows a normal distribution with a mean of 37 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 16 batteries. a. What can you say about the shape of the distribution of the sample mean? Sammple mean normal (already have this answered) Round answers to four decimal places....
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows a normal distribution with a mean of 38 hours and a standard deviation of 5.9 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 16 batteries. a. What can you say about the shape of the distribution of the sample mean? Sample mean (Click to select)NormalUniformBinomial Round answers to four decimal places. b. What...
The research department of a particular solar manufacturer believes that the mean energy output of their solar panels is 227 Watts. A random sample of 25 solar panels were tested and the average energy output was 225.5 Watts. It is known that the standard deviation of energy output for the panels the manufacturer produces is 2.5 Watts. A test is carried out to determine if the average energy output of the manufactured panels is different from 227 Watts. What is...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours and a standard deviation of 5.6 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries.normal distribution with 1.8667 standard errorWhat proportion of the samples will have a mean useful life of more than 37 hours? (Round your z value to 2 decimal places and final answer to...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
From her firm's computer telephone log, an executive found that the mean length of 67 telephone calls during July was 4.32 minutes with a standard deviation of 5.14 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 49 telephone calls whose mean was 2.090 minutes with a standard deviation of 2.766 minutes. (a) Choose the appropriate hypotheses for a right-tailed test. Assume µ1 is the average call length in July and...
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and standard deviation 2.60. What is the probability of randomly selecting a rod that is shorter than 22 cm? P(X<22)=P(Z< ) = Round your z-score and probability to four decimal places. The time a song plays on the radio varies from song to song. The time songs play varies according to a normal distribution with mean of 3.2 minutes and a...
The length of life of an instrument produced by a machine has a normal distribution mean 24 months and standard deviation 3 months. Find the probability that an instrument produced by this machine will last: (a) over 23 months? (b) less than 26 months? (c) between 22 and 25 months?
The length of the long distance calls made by the employees of a certain company are normally distributed with a mean 6.3 minutes ans a standard deviation 2.5 minutes. Find the probability the probability that a call will last more than 7 minutes. a .6308 b .3897 c .1788 d .6291