Answered: 1. A researcher wants to know whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Transcribed Image Text:**Study Overview:** 1. **Research Question:** A researcher investigates whether one type of fertilizer (Brand 1) affects plant growth rates more than another type (Brand 2). The seeds are grown under identical conditions, and fertilizers are randomly assigned to 13 plants - 7 with Brand 1 and 6 with Brand 2. After three weeks, the height of each plant is measured. **Data Summary:** - **Group Statistics:** | Type | N | Mean | Std. Deviation | Std. Error Mean | |------|---|--------|----------------|-----------------| | 1 | 7 | 53.0714| 1.90938 | 0.72168 | | 2 | 6 | 54.2500| 1.70968 | 0.69797 | - **Independent Samples Test:** **Levene's Test for Equality of Variances:** - **F:** 0.075 - **Sig.:** 0.790 **t-test for Equality of Means:** | | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference | |----------|--------|-------|-----------------|-----------------|-----------------------|-------------------------------------------| | Equal variances assumed | -1.163 | 11 | 0.269 | -1.17857 | 1.01329 | Lower: -3.40381, Upper: 1.05166 | | Equal variances not assumed | -1.174 | 10.963 | 0.265 | -1.17857 | 1.00336 | Lower: -3.38922, Upper: 1.03208 | **Questions:** a. **What test was performed?** - An independent samples t-test was conducted to compare the mean heights of plants using the two different fertilizers. b. **Is the homogeneity of variance assumption met?** - Yes, the homogeneity of variance assumption is met as indicated by Levene's test (F = 0.075, Sig. = 0.790), which is not significant. c. **Report results in APA style:** - An independent samples t

Expert Solution