pleaseee sir solve question 22 and 23 ### Probability and Statistics Educational MaterialThis image contains a series of probability and statistical questions. Below is a detailed transcription suitable for an educational website:---**Q14. In testing \(H_0 : \mu = 2\) vs \(H_1 : \mu > 2\) using \(\alpha = 0.1\), a random sample of size \(n=6\) from a normal population with \(\bar{x} = 2.6\), \(s = 0.4336\) is obtained. The observed test statistic \(t\) 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 \(P(Q \cap R)\) is**- **A)** 0.3- **B)** 0.45- **C)** 0.12- **D)** None**Q16. Suppose a 99% confidence interval for the population mean (\(\mu\)) is given by (123.7, 153.5). Find the point estimate of \(\mu\)**- **A)** 2.575- **B)** 277.2- **C)** 138.6- **D)** 137.6*Assume that the random variable \(X\) is normally distributed, with mean \(\mu = 50\) and standard deviation \(\sigma = 16\). Answer the following two questions:***Q17. The probability \(P(X > 70)\) is:**- **A)** 0.8944- **B)** 0.8819- **C)** 0.0156- **D)** 0**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 \(P(-2 \leq Z \leq k) = 0.627\)

Answered: Image /qna-images/answer/b18ef8a1-6368-428f-96ae-0c3166b91a8d.jpg

Q14. In testing, H: H=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 (44) 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 B) 0.8819 C) 0.0156 D) 0 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= a + bx Y D) A) =9.54-0.60x B) =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 D) -0.9107 0 0,3 8 7 7 10.11-0.71x 5

Q14. In testing, H: H=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 (44) 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 B) 0.8819 C) 0.0156 D) 0 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= a + bx Y D) A) =9.54-0.60x B) =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 D) -0.9107 0 0,3 8 7 7 10.11-0.71x 5

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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