Lazurus Steel Corporation produces iron rods that are supposed to be 37 inches long. The machine that makes these rods does notproduce each rod exactly 37 inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly,the mean length of the rods made on this machine is 37 inches. The standard deviation of the lengths of all rods produced on thismachine is always equal to 0.2 inch. The quality control department takes a sample of 20 such rods every week, calculates the meanlength of these rods, and makes a 97% confidence interval for the population mean. If either the upper limit of this confidence intervalis greater than 37.05 inches or the lower limit of this confidence interval is less than 36.95 inches, the machine is stopped andadjusted. A recent sample of 20 rods produced a mean length of 37.08 inches. Based on this sample, will you conclude that themachine needs an adjustment? Assume that the lengths of all such rods have a normal distribution.Round your answers to two decimal places.The confidence interval isitoiinches.The machinean adjustment.

Answered: adjusted. A recent sample of 20 rods…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I collect a random sample of size n from a population and from the data collected compute a 90% confidence interval for the mean of the population. Which of the following would produce a wider confidence interval, based on these same data? Use a larger confidence level. Use a smaller confidence level. a b.
Please help me with this question.
We wish to estimate what percent of adult residents in a certain county are parents. Out of 400 adult residents sampled, 356 had kids. Based on this, construct a 95% confidence interval for the proportion, p, of adult residents who are parents in this county.Give your answers as decimals, to three places. ______ < p < _______
NEED ANSWER FOR BOTH ASAP BOTH ARE FOR SAME QUESTION
Use the information below to answer Questions #2 and #3. You are given the sample mean and the population standard deviation. Use this information to construct the 90% confidence interval. From a random sample of 55 dates, the mean record daily high temperature in a certain city is 83.87°F. Assume the population standard deviation is 13.74°F. Find the left end point for a 90% confidence interval. Round to the nearest hundredth.
Use the sample information. X = 40, 0 = 4, and n= 20 to calculate the following confidence intervals assuming the sample is from a normal population. A. 90% confidence from____to____ (Round 4 decimal places.) B. 95% confidence interval is from_____to_____ (Round 4 decimal places.) C. 99% confidence interval is from______to_____ (Round 4 decimal places.) D. Describe how the intervals change as you increase the confidence level. A. The interval gets narrower as the confidence level increases B. The interval gets wider as a confidence level decreases C. The interval gets wider as a confidence level increases D. The interval stays the same as the confidence level increases
Please answer all. Thank you. A sample of 50 students was taken from the local university. These students spent an average of $170 on books this semester. With a standard deviation of $25.50. A 95 percent confidence interval for the average spent on books for all students would be A.) none of these B.) 170 plus minus 3.462 C.) 170 plus minus 8.42 D.) 170 plus minus 5.95 The t value that would be used to construct a 99 percent confidence interval for the mean with a sample size of n=17 would be A.) 2.567 B.) 2.583 C.) 2.898 D.) 2.921
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Completion Percentage 57 57 59 61 65 Interception Percentage 4.2 3.5 1.8 1.7 1.2 ep 5 of 5: Construct the 80 % confidence interval for the slope. Round your answers to three decimal places.
You are interested in constructing a 99% confidence interval for the population of all caterpillars that eventually become butterflies. Of the 413 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between _________ and ________. b. If many groups of 413 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ________ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ________ percent will contain the true population proportion.
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