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ECON 15B 3. A package of light bulbs promises an average life of more than 750...
A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than...
A manufacturer of light bulbs advertises that, on average, its long-life bulb will last more than 5500hours. To test this claim, a statistician took a random sample of 90 bulbs and measured the amount of time until each bulb burned out. The mean lifetime of the sample of bulbs is 5551 hours and has a standard deviation of 420 hours. Can we conclude with 99% confidence that the claim is true? Fill in the requested information below. (a) The value...
9. (10 pts.) A manufacturer of light bulbs claims that the average lifespan of their light...
9. (10 pts.) A manufacturer of light bulbs claims that the average lifespan of their light bulbs is at least 1600 hours. A sample of 100 light bulbs finds an average lifetime of 1570 hours with a standard deviation of 120 hours. If a one-sided confidence interval is considered, is the claim justified if a 95% confidence level is used?
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05a. State the null and alternative hypotheses.b. State the Type I and Type II errors.c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?d. Find the p-value.e. Construct a 95% confidence interval for...
An electrical firm manufactures light bulbs that have a length life with normal distribution, and a...
An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard deviation of o = 40 hours. A sample of size n = 100 bulbs has an average life of 740 hours. Find the 95% confidence interval for the population mean of all bulbs produced by this firm. (use interval notation). What z value(s) did you use to calculate the confidence interval above? Explain why briefly.
2. A manufacturer of replacement bulbs for LCD projectors claims a 1000 hour average life time...
2. A manufacturer of replacement bulbs for LCD projectors claims a 1000 hour average life time for the bulbs. This is important, since the bulbs sell for around $300 each. Concerned that the claim may not be valid because of a recently discovered problem in the manufacturing process, the company decides to test it. Twelve bulbs are randomly selected from a production run, each is burned until it fails, and its lifetime recorded. Here are the 12 lifetimes, in hours....
answer a-f, clearly show the steps thanks 1. . The lifetimes of light bulbs produced by...
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...
Suppose the manufacturer claims that the mean lifetime of a light bulb is more than 10,000...
Suppose the manufacturer claims that the mean lifetime of a light bulb is more than 10,000 hours. In a sample of 30 light bulbs, it was found that they only last 9,900 hours on average. Assume the population standard deviation is 120 hours. At 0.05 significance level, can we reject the claim by the manufacturer? Select one: a. We reject the claim b. We accept the claim
A manufacturer of LCD projector light bulbs is testing a new light bulb manufacturing process. They...
A manufacturer of LCD projector light bulbs is testing a new light bulb manufacturing process. They want to improve the longevity of these light bulbs they produce. However, due to the high cost associates with switching over to the new manufacturing process, they can only do so if there is clear evidence that the new production method is superior to their current production method, in terms of longer lasting LCD light bulbs To test this, they randomly pick a sample...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 270 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 60 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Correct: y = 1800 Incorrect x = 1800 Incorrect x...
A n electrical firm manufactures light bulbs that have a length of life that is approximately...
A n electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a sample standard deviation of 40 hours. If a sample of 16 bulbs has an average life of 770 hours, find a 95% two-sided confidence interval for the population mean of all bulbs produced by this firm. a. 750.40 < µ < 789.60 b. 752.47 < µ < 787.53 c. 761.47 < µ < 796.53 d. 748.69 < µ < 791.31
9. (10 pts.) A manufacturer of light bulbs claims that the average lifespan of their light bulbs is at least 1600 hours. A sample of 100 light bulbs finds an average lifetime of 1570 hours with a standard deviation of 120 hours. If a one-sided confidence interval is considered, is the claim justified if a 95% confidence level is used?
An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard deviation of o = 40 hours. A sample of size n = 100 bulbs has an average life of 740 hours. Find the 95% confidence interval for the population mean of all bulbs produced by this firm. (use interval notation). What z value(s) did you use to calculate the confidence interval above? Explain why briefly.
2. A manufacturer of replacement bulbs for LCD projectors claims a 1000 hour average life time for the bulbs. This is important, since the bulbs sell for around $300 each. Concerned that the claim may not be valid because of a recently discovered problem in the manufacturing process, the company decides to test it. Twelve bulbs are randomly selected from a production run, each is burned until it fails, and its lifetime recorded. Here are the 12 lifetimes, in hours....
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...
A manufacturer claims his light bulbs have a mean life of 1800 hours. A consumer group wants to test if their light bulbs do not last as long as the manufacturer claims. They tested a random sample of 270 bulbs and found them to have a sample mean life of 1790 hours and a sample standard deviation of 60 hours. Assess the manufacturer's claim. a) What is the null hypothesis? Correct: y = 1800 Incorrect x = 1800 Incorrect x...
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