9.11 A machine produces metal pieces that are cylin-drical in shape. A sample of pieces is taken, and thediameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99,0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% con-fidence interval for the mean diameter of pieces fromthis machine, assuming an approximately normal dis-tribution.9.20 Consider the situation of Exercise 9.11. Esti-mation of the mean diameter, while important, is notnearly as important as trying to pin down the loca-tion of the majority of the distribution of diameters.Find the 95% tolerance limits that contain 95% of thediameters.

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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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The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
Every business day, Michael's alarm goes off at 06:30. The probability he hits the snooze button is 20%. a. Give the discrete probability distribution for the event that Michael's alarm does or does not go off on a business day. What type of random variable is this? Explain. b. In 8 business days, what is the probability Michael hits the snooze button at least one time? c. In 80 business days, how many times would we expect Michael to hit the snooze button? What is the associated variance?
In the entire population of a certain type of tree, the mean height of the trees is μ = 168.8 ft and the standard deviation is σ = 43.6 ft. You collect a random sample of n=22 trees. The distribution of these sample means is shown below. Each tick mark on the horizontal axis is a distance of one more standard error. Complete the indicated boxes, correct to two decimal places. mean of distribution=168.8 standard error=9.30 Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
For samples of the specified size from the population described, find the mean and standard deviation of the sample meanx. The National Weather Service keeps records of snowfall in mountain ranges. Records indicate that in a certain range, the annual snowfall has a mean of 83 inches and a standard deviation of 14 inches. Suppose the snowfalls are sampled during randomly picked years. For samples of size 49, determine the mean and standard deviation of x A) μ=83; 0x=2 B) μ = 2; σ= 83 Oc C) μ = 83; σ= 14 D) u 14; = 83 =
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The diameter of a spindle in a small motor is supposed to be 4.4 millimeters (mm) with a standard deviation of 0.11 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 15 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.27 mm. H0: Ha: (b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $20.95 with standard deviation $0.78. He takes a sample from 5 local Caldwell stores and finds the average price for this same brand of detergent is $18.31. H0: Ha:
Q4: The diameter of a shaft in an optical storage drive is normally distributed with mean 0.2408 inch and standard deviation 0.0005 inch. The specifications on the shaft are 0.2400±0.001 inch. a) What proportion of shafts conforms to specifications? b) If the process is centered so that the process mean is equal to the target value of 0.2400, then what proportion of shafts conforms to specifications now?
The mean diameter of a ball bearing produced by a certain manufacturer is 0.60 cm with a standard deviation of 0.04 cm. A sample of 25 ball bearings is randomly selected from a production run. The sample had a mean of 0.60008 and a median 0.60333. What is the standard error for the sample mean? O A. 0.00032 O B. 0.008 O C. 0.0016 O D. 0.00008 O E. 0.00333
According to a recent study, the carapace length for adult males of a certain species of tarantula are normally distributed with a mean of μ=17.47 mm and a standard deviation of σ=1.95 mm. Complete parts (a) through (d) below. a. Find the percentage of the tarantulas that have a carapace length between 15mm and 16 mm. The percentage of the tarantulas that have a carapace length between 15 and 16 is nothing %.
The slant shear test is widely accepted for evaluating the bond of resinous repair materials to concrete; it utilizes cylinder specimens made of two identical halves bonded at 30°. An article reported that for 12 specimens prepared using wire-brushing, the sample mean shear strength (N/mm2) and sample standard deviation were 18.60 and 1.56, respectively, whereas for 12 hand-chiseled specimens, the corresponding values were 23.19 and 4.07. Does the true average strength appear to be different for the two methods of surface preparation? State and test the relevant hypotheses using a significance level of 0.05. (Use ?1 for wire-brushing and ?2 for hand-chiseling.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≤ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = You may have computed…
Q4: The diameter of a shaft in an optical storage drive is normally distributed with mean 0.2408 inch and standard deviation 0.0005 inch. The specifications on the shaft are 0.2400±0.001 inch. a) What proportion of shafts conforms to specifications? b) If the process is centered so that the process mean is equal to the target value of 0.2400, then what proportion of shafts conforms to specifications now?

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