A company produces batteries. On average 4% of these batteries fail a performance test. 100 batteries...
A company produces batteries. On average 4% of these batteries fail a performance test. 100 batteries are tested.
What is the probability that the 5th battery fails on the 100th test?
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A company produces batteries. On average 4% of these batteries
fail a performance test. 100 batteries...
Asgn: Exponetial pdf's Page 190, #'s 91, 93 #A. Car batteries fail at random wrt milages with an average failur...
Asgn: Exponetial pdf's Page 190, #'s 91, 93 #A. Car batteries fail at random wrt milages with an average failure rate of 1 in 10 kilometers. Define X as the number of failures in d kilometers, M as distance in kilometers between failures. Give the probability pdf of X, and the pdf of M, give the mean values of both ranom variables and find the probabilities that: (a) at least one battery fails within 3 km, (b) exactly 3 batteries...
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average....
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n 20 batteries. Some of the information related to the hypothesis test is presented below. Test of...
The probability that a certain kind of component will survive a shock test is .8. 1. Find the probability that exactly 2 of the next 6 components you test will survive. 2. What is the probability that...
The probability that a certain kind of component will survive a shock test is .8. 1. Find the probability that exactly 2 of the next 6 components you test will survive. 2. What is the probability that you must test 8 components to find two that fail? 3. What is the probability that the 4th component you test is the first one that fails the test? 4. Out of a group of 100 components, 20 would fail a shock test....
A computer company claims that the batteries in its laptops last 4 hours on average. A...
A computer company claims that the batteries in its laptops last 4 hours on average. A consumer report firm gathered a sample of 16 batteries and conducted tests on this claim. The sample mean was 3 hours 50 minutes, and the sample standard deviation was 20 minutes. Assume that the battery time distribution as normal. Test if the average battery time is shorter than 4 hours at α = 0.05. Use the 5-step method. b) Construct a 95% confidence interval...
8. A phone maker claims that its phones’ batteries last for 13.22 hours on average with...
8. A phone maker claims that its phones’ batteries last for 13.22 hours on average with standard usage with a standard deviation of 0.57 hours. (a) If we accept that claim, what is the probability that a battery lasts between 12 and 14 hours? (b) Find the 65th percentile for the battery lives- that is, a time for which 65% of the batteries last less than that time. (c) The company has just tested 29 devices. Find the probability that...
Ubercharge advertises that its rechargeable batteries can be recharged over 100 times without any decrease in...
Ubercharge advertises that its rechargeable batteries can be recharged over 100 times without any decrease in performance (i.e., reduced battery life). An independent firm purchased 50 Ubercharge batteries and recorded the number of times each battery could be recharged until there was a decrease in performance. They reported an average of 96 recharges before a decrease in battery performance with a standard deviation of 3. Which analysis is appropriate for determining whether Ubercharge's claims should be rejected? Assume that all...
A company has developed a new battery, but the average lifetime is unknown. In order to...
A company has developed a new battery, but the average lifetime is unknown. In order to estimate this average, a sample of 21 batteries is tested and the average lifetime of this sampled batteries is 889 hours and sample standard deviation is 23.5 hours. Here the population of interest is: Olifetime of newly developed batteries O average 21 batteries, which were tested all newly developed batteries by the company Sutorit Answer Tries 0/2 Here the sample is: lifetime of newly...
These brands of batteries are under study. It is suspected that the lives (in weeks) of...
These brands of batteries are under study. It is suspected that the lives (in weeks) of these brands are different. Five randomly selected batteries of each brand are tested with the following results: (Please answer using Sas, also if you don't want to answer a-d, could you just answer (a.) and (c.). If you also want to do (b.) and (d.), that would be stellar. Also please answer with Sas.) Weeks of life: Brand 1 | Brand 2 | Brand...
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows...
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 44.6 months and a standard deviation of 8.5 months. (a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace? (Round your answer to two decimal places.) % (b)...
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows...
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 45.0 months and a standard deviation of 8.7 months. (a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace? (Round your answer to two decimal places.) ________% (b)...
Asgn: Exponetial pdf's Page 190, #'s 91, 93 #A. Car batteries fail at random wrt milages with an average failure rate of 1 in 10 kilometers. Define X as the number of failures in d kilometers, M as distance in kilometers between failures. Give the probability pdf of X, and the pdf of M, give the mean values of both ranom variables and find the probabilities that: (a) at least one battery fails within 3 km, (b) exactly 3 batteries...
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n 20 batteries. Some of the information related to the hypothesis test is presented below. Test of...
A company has developed a new battery, but the average lifetime is unknown. In order to estimate this average, a sample of 21 batteries is tested and the average lifetime of this sampled batteries is 889 hours and sample standard deviation is 23.5 hours. Here the population of interest is: Olifetime of newly developed batteries O average 21 batteries, which were tested all newly developed batteries by the company Sutorit Answer Tries 0/2 Here the sample is: lifetime of newly...
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