The researcher was interested in examining whether there was a significant difference between (a) the placebo vs. the drug conditions (include all drugs here), (b) the old drugs vs. the new drugs, and (c) the new drugs (Drug C vs. Drug D).The question is: State the null and alternative hypotheses for each of the contrasts below. The table presents data on different types of pills, showing the effectiveness or resulting measurements for each. **Columns:**1. **Placebo:** - Measurements: 184, 179, 158, 174, 150 2. **Drug A – old:** - Measurements: 161, 163, 153, 166, 1733. **Drug B – old:** - Measurements: 144, 159, 171, 169, 1684. **Drug C – new:** - Measurements: 115, 118, 132, 127, 1355. **Drug D – new:** - Measurements: 133, 142, 134, 155, 142**Explanation:**The table is organized into columns, each representing a different type of pill: placebo, old drugs (A and B), and new drugs (C and D). Each column contains several numerical values representing outcomes or measurements recorded for each type of pill. The purpose of this table is likely to compare the effects of the different pills, using the numeric values to evaluate effectiveness or other metrics of interest.

Answered: The researcher was interested in…

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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The researcher was interested in examining whether there was a significant difference between (a) the placebo vs. the drug conditions (include all drugs here), (b) the old drugs vs. the new drugs, and (c) the new drugs (Drug C vs. Drug D).

The question is:

State the null and alternative hypotheses for each of the contrasts below.

The table presents data on different types of pills, showing the effectiveness or resulting measurements for each.

**Columns:**

1. **Placebo:**
- Measurements: 184, 179, 158, 174, 150

2. **Drug A – old:**
- Measurements: 161, 163, 153, 166, 173

3. **Drug B – old:**
- Measurements: 144, 159, 171, 169, 168

4. **Drug C – new:**
- Measurements: 115, 118, 132, 127, 135

5. **Drug D – new:**
- Measurements: 133, 142, 134, 155, 142

**Explanation:**

The table is organized into columns, each representing a different type of pill: placebo, old drugs (A and B), and new drugs (C and D). Each column contains several numerical values representing outcomes or measurements recorded for each type of pill. The purpose of this table is likely to compare the effects of the different pills, using the numeric values to evaluate effectiveness or other metrics of interest.

Expert Solution

Definition of Hypothesis :

A Hypothesis is an assertion (or) statement about the population parameter $θ$

The following are the commonly used two hypotheses

Null hypothesis H_o : Null hypothesis is denoted with H_o and the Statement of null hypothesis always contains equal statement.

Alternative Hypothesis H_a:Alternative hypothesis is denoted with H_a or H₁ and the Statement of Alternative hypothesis is exactly opposite to null hypothesis H_o that means the alternative hypothesis contains the unequal statement.