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Below is the Output from a Paired Samples comparing the number of vegetables students eat, versus the number of fruits they eat. The researcher who conducted the study believes students eat fewer fruits than vegetables. Using this output, answer the questions below A) Report the t-statistic (including the de

Below is the Output from a Paired Samples comparing the number of vegetables students eat, versus the number of fruits they eat. The researcher who conducted the study believes students eat fewer fruits than vegetables. Using this output, answer the questions below A) Report the t-statistic (including the de

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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Below is the Output from a Paired Samples comparing the number of vegetables students eat, versus the number of fruits they eat. The researcher who conducted the study believes students eat fewer fruits than vegetables. Using this output, answer the questions below

A) Report the t-statistic (including the degrees of freedom) and p-value for this analysis. 

B) Given an alpha = .05, should the researcher reject or retain the null hypothesis? Explain your reasoning.

C) In everyday language, what do these results tell you about the research question? Hint: What can be concluded about the number of fruits and vegetables students eat?

### Paired Sample T-Test Analysis This page explains the results of a paired sample t-test conducted using the statistical software SPSS. The analysis aimed to examine the relationship between vegetable (veg) and fruit intake. #### SPSS Commands ```plaintext GET GET FILE="C:\Users\jmfmo\Downloads\HLTH1025_2016.sav". T-TEST T-TEST PAIRS = veg WITH fruit (PAIRED) /MISSING=ANALYSIS /CRITERIA=CI(0.95). ``` ### Paired Sample Statistics | | Mean | N | Std. Deviation | S.E. Mean | |------|------|-----|----------------|-----------| | veg | 2.83 | 306 | 1.40 | 0.08 | | fruit| 2.22 | 306 | 1.31 | 0.07 | - **Mean**: The average intake for vegetables is 2.83, and for fruit, it's 2.22. - **N**: The sample size for both categories is 306. - **Std. Deviation**: The standard deviation for vegetables is 1.40 and for fruit, it's 1.31. - **S.E. Mean**: The standard error of the mean is 0.08 for vegetables and 0.07 for fruit. ### Paired Samples Correlations | | N | Correlation | Sig. | |-----|-----|-------------|------| | Pair 1: veg & fruit | 306 | .38 | .000 | - **Correlation**: The correlation between vegetable and fruit intake is 0.38. - **Sig.**: The significance value (p-value) is .000, indicating a significant correlation at the 95% confidence level. ### Paired Samples Test | | Mean | Std. Deviation | Std. Error Mean | 95% Confidence Interval of the Difference | | | | |------|------|----------------|-----------------|-------------------------------------------|----|---|--| | | | | Lower | Upper | t | df| Sig. (2-tailed) | | Pair 1: veg - fruit | 0.62 | 1.51 | 0.09 | 0.45 | 0.
Transcribed Image Text:### Paired Sample T-Test Analysis This page explains the results of a paired sample t-test conducted using the statistical software SPSS. The analysis aimed to examine the relationship between vegetable (veg) and fruit intake. #### SPSS Commands ```plaintext GET GET FILE="C:\Users\jmfmo\Downloads\HLTH1025_2016.sav". T-TEST T-TEST PAIRS = veg WITH fruit (PAIRED) /MISSING=ANALYSIS /CRITERIA=CI(0.95). ``` ### Paired Sample Statistics | | Mean | N | Std. Deviation | S.E. Mean | |------|------|-----|----------------|-----------| | veg | 2.83 | 306 | 1.40 | 0.08 | | fruit| 2.22 | 306 | 1.31 | 0.07 | - **Mean**: The average intake for vegetables is 2.83, and for fruit, it's 2.22. - **N**: The sample size for both categories is 306. - **Std. Deviation**: The standard deviation for vegetables is 1.40 and for fruit, it's 1.31. - **S.E. Mean**: The standard error of the mean is 0.08 for vegetables and 0.07 for fruit. ### Paired Samples Correlations | | N | Correlation | Sig. | |-----|-----|-------------|------| | Pair 1: veg & fruit | 306 | .38 | .000 | - **Correlation**: The correlation between vegetable and fruit intake is 0.38. - **Sig.**: The significance value (p-value) is .000, indicating a significant correlation at the 95% confidence level. ### Paired Samples Test | | Mean | Std. Deviation | Std. Error Mean | 95% Confidence Interval of the Difference | | | | |------|------|----------------|-----------------|-------------------------------------------|----|---|--| | | | | Lower | Upper | t | df| Sig. (2-tailed) | | Pair 1: veg - fruit | 0.62 | 1.51 | 0.09 | 0.45 | 0.
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