A manufacturer claims that the average tensile strength of thread A exceeds the average tensilestrength of thread B by at least 12 kilograms. To test this claim, 50 pieces of each type of thread were testedunder similar conditions. Type A thread had an average tensile strength of 86.7 kilograms with a standarddeviation of 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilograms with astandard deviation of 5.61 kilograms. Test the manufacturer's claim using a 0.05 level of significance. Determine the Z calculated intwo decimal places. Blank 1 Determine the Z table in two decimal places. Blank 2 Is the manufacturing claim statistically valid? yesor no, Blank 3Blank 1 Add your answerank 2 Add your answerak 3 Add your answer

Given information: X¯A=86.7sA=6.28nA=50X¯B=77.8sB=5.61nB=50 Claim: The average tensile strength of…

Answered: A manufacturer claims that the average…

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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A study of the longleaf pine trees in Wade Tract in Thomas County, Georgia measures the diameter at breast height (DBH) for each tree. This is the diameter of the tree at 4.5 feet and the units are in centimeters (cm). Only trees with DBH greater than 1.5 cm were sampled. A random sample of 40 trees had mean 27.9 cm and a standard deviation of 17.7 cm. We are interested in whether the mean DBH of the longleaf pine tree is greater than 25 cm. Test this claim. a. State the hypotheses for this problem. b. Calculate the value of the test statistic. c. Calculate and interpret the p-value. d. State your conclusion in terms of the problem.
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…
A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 11 kilograms. To test this claim, 48 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 84.2 kilograms with a standard deviation of 5.87 kilograms, while type B thread had an average tensile strength of 74.6 kilograms with a standard deviation of 6.13 kilograms. Test themanufacturer's claim using a 0.10 level of significance. Do not assume that the population variances are equal.
The tensile strength of paper using 5% hardwood and 10% hardwood are to be compared. A random sample of 41 sheets made from 5% hardwood had an average tensile strength of 1.52 lbs. with a standard deviation of 0.33 lbs. A random sample of 61 sheets made from 10% hardwood had an average tensile strength of 1.88 lbs. with a standard deviation of 0.42 lbs. Can we conclude the average tensile strength is the same for the two types of paper? Use 5% significance and p-values. Part 1) Conduct the test using the assumption that the sample standard deviations are the same as the population standard deviations. Part 2) Conduct the test using the assumption that the population standard deviations are unknown but equal (you also must assume a normal population here). Part 3) Conduct the test with only the assumption that we have simple random samples from normal populations. May you please explain which stat test you used on your calculator and why. Thank you very much for your help!
A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablet varies a bit and follows the Normal distribution with mean 11.5 kg and standard deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2 kg. 1. Calculate the 25th percentile (P25) and the 75th percentile (P75) of the distribution. 2. ) Suppose the lifetime of a human has an expectation of 72 and variance 36. What is the probability that the average of the lifetime of 100 people exceeds 73?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 44feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). a) identify the claim and state Ho and Ha b) find the critical values and identify the rejection regions c) Find the standardized test statistic z d) Decide whether to reject or fail to reject the null hypothesis. e) Interpret the decision in the context of the original claim.
A manufacturer of college textbooks is interested in the strength of the bindings produced by a particular binding machine. Strength can be measured by recording the force required to pull the pages from the binding. If this force is measured in pounds, how many books should be tested to estimate the average force required to break the binding within .5 pounds with 90% confidence. Assume the population standard deviation is 0.4 pounds. 2.
A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablet varies a bit and follows the Normal distribution with mean 5 kg and standard deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2 kg. What percent of tablets are subject to a force that meets the specifications? The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meets the specifications
Healthy females have a mean red blood cell count of 4.8 million cells per microliter of whole blood with a standard deviation of 0.3 million cells per microliter and a mean white blood cell count of 7250 cells per microliter of whole blood with a standard deviation of 1375 cells per microliter. A female patient is given a blood test. Her red blood cell count (RBC) was found to be 4.3 million cells per microliter while her white blood cell count (WBC) was found to be 6100 cells per microliter. (a) Relatively speaking, does this patient have a lower red blood cell count or white blood cell count? (b) Classify as to the type of data and determine the level of measurement for the particular data item : blood cell type (red or white).
A batch of 3000 inverters from the production line has a mean output voltage of 337.8 V and the Standard deviation of the output voltage is 3.105. If the voltages of the produced inverters are assumed to be normally distributed, determine the following: The number of inverters with output voltages greater than 336.9 V. The number of inverters with output voltages less than 337.1 V, The number of inverters with output voltages between 336.2 V and 339.8 V. For this problem you should use the table of z-values shown in Figure below.
The axial load of an aluminum can is the maximum weight the sides can support before giving way. A soft drink manufacturer is testing aluminum cansthinner. A sample of 77 of these cans provided an average axial load equal to 48.72pounds. It is known that currently used cans have an average load of 48 pounds and astandard deviation of 23.23 pounds. Assuming the manufacturer wants to test whether the axial loadaverage of thinner cans is 48 against the hypothesis that average axial load of thinner cansfines is less than 48, tick the alternative corresponding to the p-value for the test. (a) 0.1968(b) 0.3936(c) 0.6064(d) 0.3503(e) 0.0890

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