A synthetic fiber used in manufacturing carpet has tensile strength that is normallydistributed with mean 75.5 psi and standard deviation 3.5 psi. Find the probabilitythat a random sample of n = 6 fiber specimens will have sample.mean tensile strengththat exceeds 75.75 psi. Report your answer in four significant figures.%3D

We have given that, X be the random variable from normal distribution with mean (μ) = 75.5,…

Answered: A synthetic fiber used in manufacturing…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 242samples is 5.2 ppm with a variance of 1.001.00. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. Make the decision to reject or fail to reject the null hypothesis.
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
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Find the value of za/2 when 1- a = .98. Explain your answer by using the standard normal curve.
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
The value of Beta with hat on top =2.8 is a statistic. True or false. Explain.
A water hose manufacturer has developed a light-weight hose for home owners. Besides being constructed of a lightweight material. one of the characteristics of the hose is that it shrinks when it is not in use. When in use, the length of hose extends to its advertised length of 50 feet. Twenty hoses are tested to see if the hoses extend to the length of 50 feet. The sample mean of the length of the hoses is 49 1/2 feet with a s of 15 inches. Test the hypothesis at alpha = .01 that the hoses are not equal to 50 feet.
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