2. The following are the lifetimes (in hours) of a random sample of a type of electrical component:
1428.4, 970.4, 724.6, 691.4, 856.7, 1144.3, 817.6, 1630.7, 1082.2, 932.8.
(a) Determine the 95% confidence interval for the average lifetime of the component.
(b) Determine the 99% confidence interval for the average lifetime of the component.
(c) In the last year, the average lifetime of the component was 833.7 hours. According to the above sampling results, can we say that the average lifetime of the component is improved compared to the last year? Briefly explain.
(d) If you want the sample result more accurately reflect the population, what would you do?
2. The following are the lifetimes (in hours) of a random sample of a type of...
5. You are a quality control engineer and you are asked to analyze the lifetime (in hours) of an electronic component mass-produced by a corporation. Management believes that the electronic components are not lasting as long as they should. The data from your pilot study of 10 randomly selected components resulted in the following lifetimes for parts (in hours) : a. Assuming the lifetimes follow a normal distribution, and based on the above sample, develop a 95% confidence interval for the mean lifetime of this...
In a simple random sample of 19 electronic components produced by a certain method, the mean lifetime was 877 hours. Assume that component lifetimes are normally distributed with population standard deviation 33 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components?
A simple random sample of electronic components will be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 30 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 2 hours?
5) In a simple random sample of 59 electronic components produced by a certain method, the mean lifetime was 1,114 hours. Assume the component lifetimes are normally distributed with population standard deviation 55 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components? Round to nearest integer. 6) Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to...
A random sample of Brand A light bulbs and a random sample of Brand B light bulbs were the mean lifetime of all Brand B light bulbs. The confidence interval was (-29.74, 56.85). Is selected. The lifetime (in hours) of each light bulb was determined, and the results were used to construct a 95% confidence interval for the mean lifetime of all Brand A light bulbs minus 819 there convincing evidence that the mean lifetimes of Brand A and Brand...
2. A certain type of electronic component has a lifetime X (in hours) with probability density function given by otherwise. where θ 0. Let X1, . . . , Xn denote a simple random sample of n such electrical components. . Find an expression for the MLE of θ as a function of X1 Denote this MLE by θ ·Determine the expected value and variance of θ. » What is the MLE for the variance of X? Show that θ...
Question 7 (4.2 points) A simple random sample of electronic components will be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 20 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 6 hours? Write only an integer as your answer. Question 8 (5 points) Six measurements were made of the mineral content (in percent) of spinach, with...
answer a-f, clearly show the steps thanks
1. . The lifetimes of light bulbs produced by a particular manufacturer have mean 1,200 hours and standard deviation 400 hours, The population distribution is normal. Suppose that you purchase 16 bulbs, which can be regarded as a random sample from the' manufacturer's output. a)What is the mean of the sample mean lifetime? Explain. bWhat is the standard error of the sample mean? Explain. c)What is the probability that, on average, these 16...
Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation - 20 hours. Round the critical value to no less than three decimal places. Part: 0/2 Part 1 of 2 (a) Construct a 90% confidence interval for the mean battery life. Round the answer to the nearest whole number. A 90% confidence interval for the mean...
The following observations are lifetimes (days) subsequent to diagnosis for individuals suffering from blood cancer. - 80 115 866 1277 1603 181 924 1291 1605 256 983 1358 1697 418 1025 1369 1736 441 1062 1409 1799 462 1064 1456 1815 517 739 11651191 1478 1519 1853 1899 744 1222 1578 1925 789 1222 1578 808 1252 1599 1966 (a) Can a confidence interval for true average lifetime be calculated without assuming anything about the nature of the lifetime distribution?...