**Problem 8: Multiple Choice***Circle the correct/best answer. Partial credits will be given if you show reasonable steps.***1) Suppose that a normal population has mean μ and standard deviation σ = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for μ has length L = 0.2643?**A. 15B. 28C. 55D. 220**2) Which of the following is NOT TRUE about the significance level α in hypothesis testing?**A. α = 0.01 requires stronger evidence for rejecting H₀ than α = 0.05.B. α is the probability or chance of rejecting a true H₀ (Type I error).C. We reject H₀ if the p-value is less than α.D. α = 0.05 means that 95% of all such hypothesis tests correctly retain H₀.**3) A least-squares regression analysis yields the line ŷ = 10.7 - 5.6x and R² = 81%. What is the sample correlation between x and y?**A. -0.81B. +0.90C. +0.81D. -0.90

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1). Suppose that a normal population has mean u and standard deviation ơ = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for u has length L = 0.2643? A. 15 В. 28 С. 55 D. 220

1). Suppose that a normal population has mean u and standard deviation ơ = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for u has length L = 0.2643? A. 15 В. 28 С. 55 D. 220

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Problem 8: Multiple Choice**

*Circle the correct/best answer. Partial credits will be given if you show reasonable steps.*

**1) Suppose that a normal population has mean μ and standard deviation σ = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for μ has length L = 0.2643?**

A. 15

B. 28

C. 55

D. 220

**2) Which of the following is NOT TRUE about the significance level α in hypothesis testing?**

A. α = 0.01 requires stronger evidence for rejecting H₀ than α = 0.05.

B. α is the probability or chance of rejecting a true H₀ (Type I error).

C. We reject H₀ if the p-value is less than α.

D. α = 0.05 means that 95% of all such hypothesis tests correctly retain H₀.

**3) A least-squares regression analysis yields the line ŷ = 10.7 - 5.6x and R² = 81%. What is the sample correlation between x and y?**

A. -0.81

B. +0.90

C. +0.81

D. -0.90

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