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The lifetime of an electronic device has a normal distribution with standard...
Let X be the lifetime of an electronic device. It is known that the average lifetime...
Let X be the lifetime of an electronic device. It is known that the average lifetime of the device is 747 days and the standard deviation is 108 days. Let be the sample mean of the lifetimes of 164 devices. The distribution of X is unknown, however, the distribution of a should be approximately normal according to the Central Limit Theorem. Calculate the following probabilities using the normal approximation (a) Pa s 737) (c) P(737 i 763): Check
An electronic device factory is studying the length of life of the electronic components they produce....
An electronic device factory is studying the length of life of the electronic components they produce. The manager takes a random sample of 50 electronic components from the assembly line and records the length of life in the life test. From the sample he found the average length of life was 100,000 hours and that the standard deviation was 3,000 hours. He wants to find the confidence interval for the average length of life of the electronic components they produced....
An electronic device factory is studying the length of life of the electronic components they produced....
An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two assembly lines and takes all samples on those two lines. He got a sample of 500 electronic components and records the length of life in the life test. From the sample he found the average length of life was 200,000 hours and that the standard deviation was 1,000 hours. He wants to find the confidence interval for the average length...
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...
Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the...
Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the population mean of each data set. Justify your decision. If neither distribution can be used, explain why. Interpret the results. (a) In a random sample of 36 patients, the mean waiting time at a dentist’s office was 24 minutes and the standard deviation was 7.5 minutes. Construct a 90% confidence interval for the population mean. (b) In a random sample of 25 cereal boxes,...
6. You measure the lifetime (in miles of driving use) of a random sample of 25...
6. You measure the lifetime (in miles of driving use) of a random sample of 25 tires of a certain brand. The sample mean is 65,750 miles. Suppose that the lifetimes for tires of this brand follow a normal distribution, with unknown mean μ and standard deviation σ = 4,500 miles. Find a 95% confidence interval for the population mean.
1. An electric firm manufactures light bulbs that have a lifetime, X, that is approximately norma...
1. An electric firm manufactures light bulbs that have a lifetime, X, that is approximately normally distributed with a standard deviation of 100 hours. Prior experience leads the firm to establish that the mean of X (or mean lifetime), say , follows a normal distribution with mean 140-800 hours and standard deviation σ0 10 hours. If a random sample of 25 bulbs examined turns out an average lifetime of 780 hours, solve the following. (a) Find a 95% Bayesian estinate...
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the...
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...
Please show all work!!! 11.* A random sample of size n 64 is drawn from a...
Please show all work!!!
11.* A random sample of size n 64 is drawn from a population with mean μ and standard deviation σ. The mean and standard deviation of the sample are X = 308.9 and s 31.9 a. Find a 90%confidence interval for the mean μ. Interpret this interval. b. Find a 95%confidence interval for the mean μ. Interpret this interval. c. Find a 99%confidence interval for the mean μ. Interpret this interval. d. Compare the widths of...
Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain...
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...
Let X be the lifetime of an electronic device. It is known that the average lifetime of the device is 747 days and the standard deviation is 108 days. Let be the sample mean of the lifetimes of 164 devices. The distribution of X is unknown, however, the distribution of a should be approximately normal according to the Central Limit Theorem. Calculate the following probabilities using the normal approximation (a) Pa s 737) (c) P(737 i 763): Check
An electronic device factory is studying the length of life of the electronic components they produce. The manager takes a random sample of 50 electronic components from the assembly line and records the length of life in the life test. From the sample he found the average length of life was 100,000 hours and that the standard deviation was 3,000 hours. He wants to find the confidence interval for the average length of life of the electronic components they produced....
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...
1. An electric firm manufactures light bulbs that have a lifetime, X, that is approximately normally distributed with a standard deviation of 100 hours. Prior experience leads the firm to establish that the mean of X (or mean lifetime), say , follows a normal distribution with mean 140-800 hours and standard deviation σ0 10 hours. If a random sample of 25 bulbs examined turns out an average lifetime of 780 hours, solve the following. (a) Find a 95% Bayesian estinate...
Use the standard nomal distribution or the distribution to construct a 95% confidence interval for the population mean. Justily your decisioni neither distribution can be used, explain why. Interpret the results In a random sample of 41 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.11 Which distribution should be used to construct the confidence interval? Choose the correct answer below. O A Use a distribution because the sample is random, na 30, and...
Please show all work!!!
11.* A random sample of size n 64 is drawn from a population with mean μ and standard deviation σ. The mean and standard deviation of the sample are X = 308.9 and s 31.9 a. Find a 90%confidence interval for the mean μ. Interpret this interval. b. Find a 95%confidence interval for the mean μ. Interpret this interval. c. Find a 99%confidence interval for the mean μ. Interpret this interval. d. Compare the widths of...
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...
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