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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:

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:

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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pleaseee sir solve question  16 and 17

### Educational Website Transcription Welcome to our educational resource on statistical concepts and data interpretation. Below, we provide a series of questions along with detailed explanations for each. These questions are designed to test and reinforce your understanding of hypothesis testing, probability, and regression analysis. --- ### Questions and Explanations: #### Q14. Hypothesis Testing **Question:** 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 **Explanation:** This question involves calculating the observed test statistic \(t\) for a one-sample t-test. --- #### Q15. Probability of Mutually Exclusive Events **Question:** 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 **Explanation:** Mutually exclusive events cannot occur simultaneously, so \(P(Q \cap R) = 0\). --- #### Q16. Confidence Interval **Question:** 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 **Explanation:** The point estimate of \(\mu\) is the midpoint of the confidence interval. --- #### Q17-Q18. Normal Distribution & Mode Assume that the random variable \(X\) is normally distributed, with mean \(\mu = 50\) and standard deviation \(\sigma = 16\). **Q17:** The probability \(P(X = 70)\) is: - A)
Transcribed Image Text:### Educational Website Transcription Welcome to our educational resource on statistical concepts and data interpretation. Below, we provide a series of questions along with detailed explanations for each. These questions are designed to test and reinforce your understanding of hypothesis testing, probability, and regression analysis. --- ### Questions and Explanations: #### Q14. Hypothesis Testing **Question:** 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 **Explanation:** This question involves calculating the observed test statistic \(t\) for a one-sample t-test. --- #### Q15. Probability of Mutually Exclusive Events **Question:** 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 **Explanation:** Mutually exclusive events cannot occur simultaneously, so \(P(Q \cap R) = 0\). --- #### Q16. Confidence Interval **Question:** 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 **Explanation:** The point estimate of \(\mu\) is the midpoint of the confidence interval. --- #### Q17-Q18. Normal Distribution & Mode Assume that the random variable \(X\) is normally distributed, with mean \(\mu = 50\) and standard deviation \(\sigma = 16\). **Q17:** The probability \(P(X = 70)\) is: - A)
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