0.1521 X A) 0.3120 B) 0.2525 C) 0.2177 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation >= a + bx Y A) =9.54-0.60x B) ŷ 13.11-0.81x C) =10.16-0.67x 3 4 67 8 7 D) -10.11-0.71x 8 Lin 5
0.1521 X A) 0.3120 B) 0.2525 C) 0.2177 *Consider the following table, and answer the following Two questions Q24. Find the linear regression equation >= a + bx Y A) =9.54-0.60x B) ŷ 13.11-0.81x C) =10.16-0.67x 3 4 67 8 7 D) -10.11-0.71x 8 Lin 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
Related questions
Question
pleaseee sir solve question 24
![### Statistics and Probability Practice Questions
Welcome to our educational platform's practice section. Below are several multiple-choice questions designed to help you practice statistical and probability concepts. These questions are suitable for students preparing for exams or anyone looking to sharpen their understanding of these topics.
---
**Q14. Hypothesis Testing**
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. Probability with Mutually Exclusive Events**
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. Confidence Interval Estimation**
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. Probability Calculation**
The probability \( P(X > 70) \):
- A) 0.8944
- B) 0.8819
- C) 0.0156
- D) 0
**Q18. Mode of a Normal Distribution**
The mode of a random variable \( X \) is:
- A) 66
- B) 45
- C) 50
- D) 3,125
**Q19. Standard Normal Variable**
Let \( Z \) be](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F007e862a-7262-49f9-bb2f-7e88262b0ea9%2Fdfcea187-f2df-4a69-877f-53c872e79ccb%2Fsfces6w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Statistics and Probability Practice Questions
Welcome to our educational platform's practice section. Below are several multiple-choice questions designed to help you practice statistical and probability concepts. These questions are suitable for students preparing for exams or anyone looking to sharpen their understanding of these topics.
---
**Q14. Hypothesis Testing**
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. Probability with Mutually Exclusive Events**
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. Confidence Interval Estimation**
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. Probability Calculation**
The probability \( P(X > 70) \):
- A) 0.8944
- B) 0.8819
- C) 0.0156
- D) 0
**Q18. Mode of a Normal Distribution**
The mode of a random variable \( X \) is:
- A) 66
- B) 45
- C) 50
- D) 3,125
**Q19. Standard Normal Variable**
Let \( Z \) be
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