Service time for a customer coming through a checkout counter in a retail store is a randomvariable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that thedistribution of service time is fairly close to a normal distribution. Suppose there are two countersin a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find theprobability that the difference between the mean service time for the shorter line X₁ and themean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service timesfor each customer can be regarded as independent random variables.Round your answer to two decimal places (e.g. 98.76).P =

Given Data: Let us consider the given data, Mean μ=3.5Standard deviation σ=3.5n1=2n2=13 To Find: The…

Answered: Service time for a customer coming…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.
A particular fruit's weights are normally distributed, with a mean of 665 grams and a standard deviation of 15 grams. If you pick 10 fruit at random, what is the probability that their mean weight will be between 655 grams and 673 grams
A particular fruit's weights are normally distributed, with a mean of 769 grams and a standard deviation of 38 grams.If you pick one fruit at random, what is the probability that it will weigh between 646 grams and 809 grams
A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.
A particular fruit's weights are normally distributed, with a mean of 615 grams and a standard deviation of 12 grams.If you pick one fruit at random, what is the probability that it will weigh between 575 grams and 617 grams
Suppose a college admissions test is normally distributed with a mean of 500 and a standard deviation of 100. If a student scores in the 75th percentile, what is their test score? If the top 10% of test takers are eligible for a scholarship, what is the minimum score needed to qualify for the scholarship? If the test is taken twice by the same student, and the scores are independent, what is the probability that their average score is above 550?
A farmer was interested in determining how many grasshoppers were in his field. He knows that the distribution of grasshoppers may not be normally distributed in his field due to growing conditions. As he drives his tractor down each row he counts how many grasshoppers he sees flying away. After several rows he figures the mean number of flights to be 57 with a standard deviation of 12. What is the probability of the farmer will count 60 or more flights on average in the next 40 rows down which he drives his tractor? Round to four decimal places. OA. 0.4429 OB. 0.0569 OC. 0.9429 OD. 0.5710
On average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 11 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.3, 6, 5.5, 7, 5.4, 5.7, 6.2, 6.4, 9.1, 8.7, 8.3 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. R. Thus, the final conclusion is that 2
The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month? The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams? The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?
About 79% of all female heart transplant patients will survive for at least 3 years. Seventy female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 75%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pqn.
A particular fruit's weights are normally distributed, with a mean of 764 grams and a standard deviation of 20 grams. If you pick one fruit at random, what is the probability that it will weigh between 709 grams and 809 grams
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