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A) 0.3413 B) 0.8413 Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.3120 B) 0.2525 C) 0.2177 D) 0.1521

A) 0.3413 B) 0.8413 Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.3120 B) 0.2525 C) 0.2177 D) 0.1521

MATLAB: An Introduction with Applications
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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please solve question 23

Q14. In testing, H:u=2 vs H₁: u>2 using a = 0.1, a random sample of size n-6 from normal population with x=2.6, s=0.4336 is obtained. The observed test statistic is A) 2.44 B) 3.39 C) 1.22 D) 1.13 Q15. If P(Q)-0.45, P(R)-0.3 are mutually exclusive, then P(QR) is A) 0.3 B) 0.45 C) 0.12 D) None Q16. Suppose a 99% confidence interval for the population mean (4) is given by (123.7, 153.5). Find the point estimate of : A) 2.575 B) 277.2 C) 138.6 D) 137,6 *Assume that the random variable X is normally distributed, with mean u 50 and standard deviation o=16. Answer the following Two questions: Q17. The probability P(X=70)= A) 0.8944 C) 0.0156 D) 0 B) 0.8819 Q18. The mode of a random variable X is: A) 66 B) 45 C) 50 D) 3.125 Q19. Let Z be a standard normal variable, find k such that P(-2<Z<k)=0.627. A) 0.3846 B) 0.3223 C) 0.5067 D) 0.5523 *Consider the following discrete probability distribution when answering the following Two questions: X 1 2 3 P(X) 0.15 0.25 0.3 Q20. What is the probability that P(X² <9)= B) 0.45 C) 0.7 D) 1 A) 0.55 Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places). A) 1.80 B) 1.85 C) 1.45 D) 1.55 *The mean height of residents in a large city is -69 Inches with a standard deviation o=5.1 Inches. Assume the height of residents is normally distributed. Answer the following Two questions: Q22. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about: A) 0.3413 B) 0.8413 C) 0.1521 D) 0.8023 Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.3120 D) 0.1521: B) 0.2525 C) 0.2177 1 X 3 4 6 8 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation j = a + bx Y A) -9.54-0.60x B) y=13.11-0.81x C) =10.16-0.67x Q25. The correlation coefficient (r) between X and Y is: A)-0.8987 B) 0.8632 C) -0.9603 0 0.3 8 7 7 D) -10.11-0.71x D) -0.9107 5
Transcribed Image Text:Q14. In testing, H:u=2 vs H₁: u>2 using a = 0.1, a random sample of size n-6 from normal population with x=2.6, s=0.4336 is obtained. The observed test statistic is A) 2.44 B) 3.39 C) 1.22 D) 1.13 Q15. If P(Q)-0.45, P(R)-0.3 are mutually exclusive, then P(QR) is A) 0.3 B) 0.45 C) 0.12 D) None Q16. Suppose a 99% confidence interval for the population mean (4) is given by (123.7, 153.5). Find the point estimate of : A) 2.575 B) 277.2 C) 138.6 D) 137,6 *Assume that the random variable X is normally distributed, with mean u 50 and standard deviation o=16. Answer the following Two questions: Q17. The probability P(X=70)= A) 0.8944 C) 0.0156 D) 0 B) 0.8819 Q18. The mode of a random variable X is: A) 66 B) 45 C) 50 D) 3.125 Q19. Let Z be a standard normal variable, find k such that P(-2<Z<k)=0.627. A) 0.3846 B) 0.3223 C) 0.5067 D) 0.5523 *Consider the following discrete probability distribution when answering the following Two questions: X 1 2 3 P(X) 0.15 0.25 0.3 Q20. What is the probability that P(X² <9)= B) 0.45 C) 0.7 D) 1 A) 0.55 Q21. What is the E(X) (mean) of the random variable X? (rounded off to two decimal places). A) 1.80 B) 1.85 C) 1.45 D) 1.55 *The mean height of residents in a large city is -69 Inches with a standard deviation o=5.1 Inches. Assume the height of residents is normally distributed. Answer the following Two questions: Q22. If a resident is randomly selected from this city, the probability that his height is less than 74.1 Inches is about: A) 0.3413 B) 0.8413 C) 0.1521 D) 0.8023 Q23. If 25 residents are randomly selected from this city, the probability that their average height (X) is less than 68.2 Inches is about A) 0.3120 D) 0.1521: B) 0.2525 C) 0.2177 1 X 3 4 6 8 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation j = a + bx Y A) -9.54-0.60x B) y=13.11-0.81x C) =10.16-0.67x Q25. The correlation coefficient (r) between X and Y is: A)-0.8987 B) 0.8632 C) -0.9603 0 0.3 8 7 7 D) -10.11-0.71x D) -0.9107 5
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