The sisal composite tensile strength is normally distributed with a mean and standard deviationof 131 and G MPa, respectively. Calculate the value of standard deviation, G, if it is known that20.33% of the tensile strength will be at least 151 MPa. Next, compute the probability that thetensile strength will be at least 99 MPa but not more than 160 MPa.A random sample of 45 materials is then taken for a study. Compute the probability that themean tensile strength will be at most 122 MPa. Next, determine the probability that the meanof such tensile strength will be within 4.45 MPa of the population mean.

A continuous random variable X follows Normal distribution with parameters μ and σ2 if its…

Answered: The sisal composite tensile strength is…

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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Steve, the underpaid graduate student, is interested in determining how many final grades in Dr. Boehring’sclass vary. Steve determines that the standard deviation of final grades in Dr. Tahkstumusch’s class is 7. Steve takes a random sample of 50 final grades from Dr. Boehring’s class and computes a standard deviation of 9.Assume that the final grades in Dr. Boehring’s class are normally distributed. At the 5% significance level, do the data provide sufficient evidence to conclude that the standard deviationσof final grades in Dr. Boehring’sclass are greater than 7? Use the rejection region approach for all of the parts below. (a) Define the appropriate hypotheses (b)State and verify that the proper assumptions hold (c)Use the rejection region approach to perform the test (d) Provide support for your decision regarding the null hypothesis (e) Write a summary of your conclusion in the context of the problem
Suppose the total weight of passengers on a particular flight has a mean of 1499 with standard deviation 128 what is the score of a flight with a total weight of 1639.8
A sample of n=36 scores has a standard error of 3. What is the standard deviation of the population from which the sample is obtained?
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 4.6 feet. The mean braking distance for Make B is 46 feet. 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. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A random sample of 10 subjects have weights with a standard deviation of 11.9848 kg . What is the variance of their weights ? Be sure to include the appropriate units with the result .
5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. Compute the Z-score for a boy with height of 150 cm and find the correct interpretations. a. Boy's height is 0.71 standard deviation lower the national average b. Boy's height is 1.71 standard deviation above the national average c. Boy's height is 1.71 standard deviation lower than the national average d. Boy's height is 2.71 standard deviation above the national average
The average length of time for students to register in the second semester at a certain university has been 55 minutes. A new registration procedure is being tested. If random samples of 16 students have an average of 50 minutes with standard deviation of 12 minutes under system, can you conclude that the new system is faster than the old one? Assume that the average length of time is normally distributed. Use ά = 0.05.
According to an article in Good Housekeeping, a 128-lb woman who walks for 30 minutes four times a week at a steady, four-mi/hr pace can lose up to 10 lbs over a span of a year. Suppose 35 women with weights between 125 and 130lb perform the four walks per week for a year and at the end of the year the average weight loss for the 35 was 9.1 lbs. If the sample standard deviation is 5, calculate the value of the test statistic and find the p-value of the hypothesis test of Ho:µ =10 vs H1:µ≠10.
A population has a mean μ=85 and a standard deviation σ=21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=263.

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