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A certain type of automobile battery is known to last an average of 1160 days with...
A certain type of automobile battery is known to last an average of 1,180 days with...
A certain type of automobile battery is known to last an average of 1,180 days with a standard deviation of 50 days. If 100 of these batteries are selected, find the following probabilities for the average length of life of the selected batteries. (Round your answers to four decimal places.) (a) The average is between 1,172 and 1,180. (b) The average is greater than 1,188. (c) The average is less than 950.
15. A certain type of automobile battery is known to have a lifetime which is normally...
15. A certain type of automobile battery is known to have a lifetime which is normally distributed with mean 1,200 days and standard deviation 90 days. For how many days should these batteries be guaranteed if the manufacturer wants to replace only 20% of the batteries sold because they "died" before the guarantee expired? A. 1052 B. 1105 C. 1124 D. 1094 16. A particular television commercial is understood by 30% of first graders and 65% of fourth graders....
The life of an automobile battery is known to follow normal distribution with a mean of...
The life of an automobile battery is known to follow normal distribution with a mean of 2000 days and a standard deviation of 200 days. (a) Find the percentage of batteries which fail before 1500 days. (b) What should be the guarantee period to be specified by the manufacturer so that the manufacturer will encounter only 10 percent failures of the battery?
PROBLEM 5. (8 points) A certain type of batteries is claimed to last on average 19.8...
PROBLEM 5. (8 points) A certain type of batteries is claimed to last on average 19.8 hours of continuous use. The lifetimes of these batteries are known to be Normally distributed. Answer the following questions. a. A random sample of 26 batteries was selected and tested, and the standard deviation of their lifetimes was found to be 1.73 hours of continuous use. What is the probability that the average lifetime of these batteries is at least 20.5 hours of continuous...
1.- An expensive watch is powered by a 3-volt lithium battery expected to last three years....
1.- An expensive watch is powered by a 3-volt lithium battery expected to last three years. Suppose the life of the battery has a standard deviation of 0.3 year and is normally distributed.a. Determine the probability that the watch's battery will last longer than 3.8 years.b. Calculate the probability that the watch's battery will last more than 2.35 years.c. Compute the length-of-life value for which 20% of the watch's batteries last longer. a. The probability that the battery will last...
Suppose the average lifetime of a certain type of car battery is known to be 60...
Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months. a) If the true average lifetime is 62 months and a=0.01, what is the probability of a type II error? b) What is the required sample size to satisfy and the type II error probability of b(62)...
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...
A company claims that their lightbulbs last an average of 400 days. To test this claim,...
A company claims that their lightbulbs last an average of 400 days. To test this claim, a random sample of 25 lightbulbs is tested and it is observed that they last for an average of 380 days with a standard deviation of 60 days. Part A) Assuming that the population of the time to failure of all lightbulbs is normally distributed, test the null hypothesis that the average life-length of their lightbulb is 400 days against the alternative that it...
A tablet advertises that it has an all-day battery. The company claims that their battery will...
A tablet advertises that it has an all-day battery. The company
claims that their battery will expectedly last 24 hours. Batteries
of that capacity are assumed to have lives that are normally
distributed with (known) standard deviation equal to 1.25 hours. A
random sample of 10 batteries has a sample average life of 23.2
hours. Answer the following questions.
(a) Using α = 0.05, can you support the claim that battery life
is below 24 hours? Hint: Formulate the problem...
Exercise 1: The average lifespan of a certain electronic component is 850 days and a standard...
Exercise 1: The average lifespan of a certain electronic component is 850 days and a standard deviation of 40 days. Knowing that the duration is normally distributed, calculate the probability that this component will last: a) between 700 and 1000 days; b) more than 800 days; c) less than 750 days. Exercise 2: A survey reports that 86% of users use Internet Explorer as a browser. You randomly select 200 users and ask them if they use Internet Explorer as...
The life of an automobile battery is known to follow normal distribution with a mean of 2000 days and a standard deviation of 200 days. (a) Find the percentage of batteries which fail before 1500 days. (b) What should be the guarantee period to be specified by the manufacturer so that the manufacturer will encounter only 10 percent failures of the battery?
PROBLEM 5. (8 points) A certain type of batteries is claimed to last on average 19.8 hours of continuous use. The lifetimes of these batteries are known to be Normally distributed. Answer the following questions. a. A random sample of 26 batteries was selected and tested, and the standard deviation of their lifetimes was found to be 1.73 hours of continuous use. What is the probability that the average lifetime of these batteries is at least 20.5 hours of continuous...
A tablet advertises that it has an all-day battery. The company
claims that their battery will expectedly last 24 hours. Batteries
of that capacity are assumed to have lives that are normally
distributed with (known) standard deviation equal to 1.25 hours. A
random sample of 10 batteries has a sample average life of 23.2
hours. Answer the following questions.
(a) Using α = 0.05, can you support the claim that battery life
is below 24 hours? Hint: Formulate the problem...
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