### Statistical Analysis in Research#### Problem 17**Scenario:**A sample of $ n = 40 $ is selected from a normal population with $ \mu = 75 $ msec and $ \sigma = 12 $, and a treatment is administered to the sample. The treatment is expected to increase scores by an average of 4 msec.**Tasks:****a. Two-Tailed Hypothesis Test:**If the treatment effect is evaluated with a two-tailed hypothesis test using $ \alpha = .05 $, what is the power of the test?**b. One-Tailed Hypothesis Test:**What is the power of the test if the researcher uses a one-tailed test with $ \alpha = .05 $?#### Problem 18**Scenario:**Briefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant.---**Note:** For detailed statistical analysis including power calculations, reference corresponding statistical tables or software. Understanding factors such as sample size, test type (one-tailed vs. two-tailed), and significance level $ \alpha $ helps in accurately interpreting outcomes.

Given, The hypothesis to be tested here is as follows: This is a two-tailed test. In case the…

Answered: .03. test if the normal popu- and a…

.03. test if the normal popu- and a treat- e treatment is age of 4 msec. vith a two- ,what is the researcher uses size influ- at all other

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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Question

### Statistical Analysis in Research

#### Problem 17

**Scenario:**

A sample of $ n = 40 $ is selected from a normal population with $ \mu = 75 $ msec and $ \sigma = 12 $, and a treatment is administered to the sample. The treatment is expected to increase scores by an average of 4 msec.

**Tasks:**

**a. Two-Tailed Hypothesis Test:**

If the treatment effect is evaluated with a two-tailed hypothesis test using $ \alpha = .05 $, what is the power of the test?

**b. One-Tailed Hypothesis Test:**

What is the power of the test if the researcher uses a one-tailed test with $ \alpha = .05 $?

#### Problem 18

**Scenario:**

Briefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant.

---

**Note:** For detailed statistical analysis including power calculations, reference corresponding statistical tables or software. Understanding factors such as sample size, test type (one-tailed vs. two-tailed), and significance level $ \alpha $ helps in accurately interpreting outcomes.

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