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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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### 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
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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