The time to assemble a certain type of a computer board from a certain assembly line, has a normal distribution. The assembly times for a random sample of 20 boards are measured. The sample mean and sample standard deviation of observed times are: X &=35 minutes and s=2.2 minutes. a. Find a 90% confidence interval for the true average assembly time for a board. b. Find a 90% confidence interval for the true variance of assembly time F2. c. Find a 90% confidence interval for the true standard deviation of assembly time F.

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23-11-2022
Physics

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The time to assemble a certain type of a computer board from a certain assembly line, has a normal distribution. The assembly times for a random sample of 20 boards are measured. The sample mean and sample standard deviation of observed times are: X &=35 minutes and s=2.2 minutes. a. Find a 90% confidence interval for the true average assembly time for a board. b. Find a 90% confidence interval for the true variance of assembly time F2. c. Find a 90% confidence interval for the true standard deviation of assembly time F.

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NomulaHarsh NomulaHarsh · Answer 1 · 2022-11-29T17:41:25+01:00

The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).

What is average?
The ratio of a sum of the values in a given set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height throughout India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points. In mathematics, the central value of the a set of data is expressed as the average of a list of data.

A) The 90% confidence interval for the true average assembly time for a board is (34.19 minutes, 35.81 minutes).

B) The 90% confidence interval for the true variance of assembly time is (3.42 minutes, 7.06 minutes).

C) The 90% confidence interval for the true standard deviation of assembly time is (1.84 minutes, 2.65 minutes).

To learn more about average
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