The lifespan of batteries produced by a manufacturer is distributed according to a normal distribution with an average duration of 110 hours and a standard deviation of 10 hours.
a) What proportion of the batteries produced will last more than 120 hours?
(b) The warranty accompanying the batteries states that if a battery lasts less than ''K'' hour, the manufacturer will replace it. What should be the value of ''k'' if the manufacturer does not want to replace more than 5% of the batteries sold?
The lifespan of batteries produced by a manufacturer is distributed according to a normal distribution with...
A factory manufactures lightbulbs where the lifespan can be approximated by a normal distribution having an average of 1000 hours and a standard deviation of 200 hours. a) what is the probability that a lightbulb's lifespan exceeds 1330 hours? b) The factory would like to offer a replacement warranty for all lightbulb that does not last longer than "Y" hours. Determine what "Y" should be if the company wants to replace at MOST 2.5% of its lightbulbs with this warranty.
A manufacturer of calculator batteries claims that the average lifespan of her batteries is more than 1300 hours. a. Set up the null and alternative hypothesis needed to substantiate this claim, as if you had reason to believe that this claim is not being met. b. A sample of 16 batteries is tested and it is found that the sample mean is 1280 hours and σ = 40 hours. Do a test of your null hypothesis at the 1% significance...
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 17 AAA batteries produced by this manufacturer lasted a mean of 11 hours with a standard deviation of 2.5 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then complete the table below.Carry your intermediate computations to at least...
2 3 5 Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 15 AAA batteries produced by this manufacturer lasted a mean of 10.5 hours with a standard deviation of 2.4 hours. Find a 90% confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer. Then complete the table below. Carry your intermediate...
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?
2786 · Question 10 A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.6 years, and standard deviation of 1.3 years. If you randomly purchase one item, what is the probability it will last longer than 12 years? . Question 11 A survey of 1700 workers and retirees in the United States of age 25 years and older conducted by Employee Benefit Research Institute in January 2010 found that 714 had less than $10,000...
Energetic Co., a battery manufacturer, claims their battery lasts for 61.51 months with a standard deviation of 9.112 months. You randomly sample 24 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is less than 59.44? Question 9 options: 1) 0.8671 2) 0.4101 3) 0.1155 4) 0.5899 5) 0.1329
The lifetime of acertain type of calculator battery are normally distributed the mean life is 400hours and standard deviation is 50 hours for a group of 500 batteries ,how many are expected to last between 350 hours and 450 hours and again more than 300 hours and less than 300 hours
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...
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....