1amandA college admissions officer takes a simple random sample of 110 enteringfreshmen and computes their mean mathematics SAT score to be 465.Assume the population standard deviation is = 92.Construct a 90% confidence interval for the mean mathematics SAT scorefor the entering freshmen class.2W-0XA) (451,479)B) (373, 557)C) (446, 484)D) (463,467)#380EDC$4888RF%5VTG^6MacBook AirBYH&7UN**8J119MKF9V

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Answered: 1 mand A college admissions officer…

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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Twenty-six percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. Suppose 20 randomly selected cars are tested. Round all answers three decimal places. 1)Find the mean number of cars which will fail the inspection.2) Find the standard deviation of the number of cars that will fail the inspection.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
A data set includes data from student evaluations of courses. The summary statistics are nequals=8585, x overbarxequals=3.423.42, sequals=0.540.54. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we randomly select 14 different fire ant workers having weights F1, F2, , F14. Let S = F1 + F2 + ...+F14 and let M = S/14. This means S is the sample sum and M is the sample mean of the selected ant weights. (Note: random selection means F1 F14 are independent.). Assume the Fis are normally distributed. j) What is the expected value of M - 3.11 ? k) What is the standard deviation of [(M - 3.11)/49]/srt14
A company manufactures electrical components and today they are producing 220-ohm carbon film resistors. A sample of 8 resistors was taken from the production line and were tested. Below are the measured resistance of the 8 resistors. [220.8, 221.9, 223.2, 219.1, 222.8, 219.2, 219.4, 219.5] Consider the two-sided hypothesis test for the mean resistance: Ho : µ = 220 vs Hj : µ # 220 Calculate the test statistic for the observed data for this hypothesis test. Give your answer to 3 decimal places. Test statistic: to 3 d.p. What is your hypothesis decision given that the manufacturing company is happy with a 5% significance level of the test? Hypothesis Decision: (No answer given) You may use the following quantile values from the Student-t distribution: df 7 8 pt(0.900, df) 1.415 1.397 1.383 pt(0.950, df) 1.895 1.860 1.833 pt(0.975, df) 2.365 2.306 2.262
5. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 83 and the standard deviation was 13.5, construct a 99% confidence interval for the mean score of all students, O 76.21 < u < 89.79 O 76.23 < u < 89.77 O 76.93 < u < 89.07 O 78.81 < u < 87.19
17)
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 112 and a standard deviation of about 48. Assume forty-six individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. 1. the group of 46, find the probability that the average number of friends is more than 123. 2. Find the first quartile for the average number of Facebook friends.
In a certain presidential election, Alaska's 40 election districts averaged 1,958.8 votes per district for a candidate. The standard deviation was 572.5. (There are only 40 election districts in Alaska.) The distribution of the votes per district for one candidate was bell-shaped. Let X = number of votes for this candidate for an election district. O Part (a) ....... O Part (b) O Part (c) Find the probability that a randomly selected district had fewer than 1,700 votes for this candidate. (Round your answer to four decimal places.) 0.3 Sketch the graph. 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0003 0.0003 0.0002 0.0002 0.0001 0.0001 X 4000 X 4000 1000 2000 3000 1000 2000 3000 0.0007 0.0007 0.0006 0.0006 0.0005 0.0005 0.0004 0.0004 0.0003 0.0003 0.0002 0.0002 0.0001 0.0001 X 4000 1000 2000 3000 4000 1000 2000 3000 Write the probability statement. P( 0.62 O Part (d) Find the probability that a randomly selected district had between 1,800 and 2,000 votes for this…

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