An engineer uses three machine's concrete to pore a concrete rode. The first one produces 60% of total production and has a failure ratio of 4.5% while the other two machines have the same percent of production and failure ratio. If the probability of drawing sample to be provided from the third machine is 0.2857, so 1- What is The failure ratio of the second machine? 2- What is The percentage probability of drawing sample to

An engineer uses three machine's concrete to pore a concrete rode. The first one produces 60% of total production and has a failure ratio of 4.5% while the other two machines have the same percent of production and failure ratio. If the probability of drawing sample to be provided from the third machine is 0.2857, so 1- What is The failure ratio of the second machine? 2- What is The percentage probability of drawing sample to

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Description: An engineer uses three machine's concrete to pore a concrete rode. The first one produces 60% of total production and has a failure ratio of 4.5% while the other two machines have the same percent of production and failure ratio. If the probability o

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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disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…
Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Things that are labelled i underneath a b c, etc are all part of that part.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Site 1 2 3 4 5 6 7 Method I: 0.013 0.020 0.015 0.055 0.007 0.002 0.010 Method II: 0.014 0.045 0.017 0.039 0.017 0.001 0.013 Do these data indicate a difference (either way) in the average reduction of phosphorous between the two methods? Use α = 0.05. (Let d = Method I − Method II.) (i) What is the level of significance? What is the value of the sample test statistic? (Round…
A student at a large university suspects Mr. Harsh is grading his statistics students too harshly. The student determines that over the past 2 years students in all sections of statistics (taught by other teachers) received grades of A, B, C, D, or F in the following proportions: A: 0.20; B: 0.30; C: 0.30; D: 0.10; and F: 0.10. The student then takes an SRS of 90 students who took statistics with Mr. Harsh in the past 2 years and gathers the following information: Grade Number of students B 26 12 28 15 The student performs the appropriate x procedure to test the hypothesis that the teacher's grade distribution is different from the other teachers, Which of the following expressions represents the expected count of the grade category D? O (0.10)(90) O 15? 90 (15-9) O (0.10)(15)
3. At a factory that produces doorknobs, a batch of 1500 doorknobs has just been produced. To check the quality of the doorknobs, a random sample of 100 doorknobs is selected to test for defects. Out of these 100 doorknobs, 2 were found to be defective. Based on these results, what is the best estimate you can give for the number of defective doorknobs in the batch of 1500? Solve this problem in two different ways, explaining your reasoning in each case. just been
An elephant eats an average of 3 bushels of alfalfa per day, with a standarddeviation of 0.8 bushels. Suppose that you need to feed 10 elephants for oneweek. If the distribution is normal, what is the minimum number of bushels ofalfalfa so that there is no more than a 10% chance of running out by the end of the week?
2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment 1. What is the average number of calories consumed for children in this group? Use 2 decimals Hint: Don't forget to only use the subset of children that participated in meal prep aration. 2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standard error for the average of calories consumed by children participating in meal preparation. Enter the value using two decimals. Hint 2: The R command length() may be useful to find the appropriate sample size. 2c. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Use the results obtained in the previous two questions and obtained the test statistic. Enter it here using two decimals. 2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that…
A random sample of 100 voters is taken to estimate the proportion of a state’s electorate in favor of increasing the gasoline tax to provide additional revenue for highway repairs. What is the largest value that the standard error of the sample proportion in favor of this measure can take?
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ , spent by customers at the supermarkets has been reported to be 36 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is greater than 36 minutes. The consultant plans to do a statistical test and collects a random sample of 50 shopping times at the supermarkets. Suppose that the population of shopping times at the supermarkets has a standard deviation of 16 minutes and that the consultant performs her hypothesis test using the 0.05 level of significance.
If two large random samples are drawn from two populations, each having a mean of $100, the relevant sampling distribution of their difference has a mean of a. 200 b. The Sum of the 2 Sample Means C. 0 D. The difference between the two sample means.