The breaking strength of a rivet has a mean value of 10,050 psi and a standard deviation of 503 psi.A USE SALT(a) What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9,950and 10,250? (Round your answer to four decimal places.)(b) If the sample size had been 15 rather than 40, could the probability requested in part (a) be calculated from the giveninformation? Explain your reasoning.Yes, the probability in part (a) can still be calculated from the given information.No, n should be greater than 30 in order to apply the Central Limit Theorem.No, n should be greater than 20 in order to apply the Central Limit Theorem.No, n should be greater than 50 in order to apply the Central Limit Theorem.You may need to use the appropriate table in the Appendix of Tables to answer this question.

a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Answered: The breaking strength of a rivet has a…

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 Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. (Provide your answer with four decimal places) A. If a household is selected at random what is the probability that the number of TV sets is greater than 2 in that household? B.If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2?
h) What is the approximate probability that T is within 2 standard deviations of its expected value?
11
In a sample of size 36, the sample mean was found to be 54.6. If the probability of getting a sample mean greater than 66.24 is 0.834, what is the standard deviation for sample means? O A. 72 O B. 3.464 O C. 8.485 O D. There is not enough information to find the sample standard deviation O E. 12
A sample mean for a treated group of n = 9 individuals is 32 and the population mean for the untreated group is 26. If the sample standard deviation is 9 ( is unknown), which of the following test statistics is correct? O z = .67 O z = 2.0 Ot=.67 O t = 2.0
The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?
': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail to complete the test run without a blowout. Of the next 15 trucks tested, find the probability that at least 3 trucks have blowouts.
According to R.L.Polk & Co., the average age of cars and light trucks in the US in 2011 was 10.8 years. Assume that the standard deviation for this population is 3.7 years. A sample of 35 randomly selected vehicles was selected. What is the probability that the sample mean will be greater that 10 years? O a 0.9846 Ob 0.7812 Oc. 0.8997 Od 0.5469
b. If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2? QUESTION 20 Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8. The instructor wants to give an A to the students whose scores were in the top 08% of the class. What is the minimum score needed to get an A? (Provide your answer with two decimal places) Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save Al-
a) Attendance at large exhibition shows in Denver averages about 8000 people per day, with standard deviation of about 475. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.) What is the probability that the daily attendance will be fewer than 7200 people? What is the probability that the daily attendance will be more than 8900 people? What is the probability that the daily attendance will be between 7200 and 8900 people? b) Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 56 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 92% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) ____minutes after…

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