Using t Test and ANOVA With Sun Coast Remediation Data Set
Using t Test and ANOVA With Sun Coast Remediation Data Set
Using the Sun Coast Remediation data set, perform an independent samples t Test, dependent samples t Test, and ANOVA, and interpret the results.
You will utilize Microsoft Excel Toolpak for this assignment.
Example:
Independent Sample t Test
Restate the hypotheses.
Provide data output results from Excel Toolpak.
Interpret the t Test results
Dependent Sample t Test
Restate the hypotheses.
Provide data output results from Excel Toolpak.
Interpret the t Test results
ANOVA
Restate the hypotheses.
Provide data output results from Excel Toolpak.
Interpret the ANOVA results.
Please follow the Unit VI Scholarly Activity template to complete your assignment.
The title and reference pages do not count toward the page requirement for this assignment. This assignment should be no less than two pages in length, follow APA-style formatting and guidelines, and use references and citations as necessary.
Resources
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Data Analysis: Hypothesis Testing
Independent Samples t Test: Hypothesis Testing
t-Test: Paired Two Sample for Means
Group A Prior Training Scores
Group B Revised Training Scores
Mean
69.79032
84.77419
Variance
122.0045
26.96457
Observations
62
62
Pearson Correlation
0.060325
Hypothesized Mean Difference
0
Df
61
t Stat
-9.89922
P(T<=t) one-tail
1.31E-14
t Critical one-tail
1.670219
P(T<=t) two-tail
2.62E-14
t Critical two-tail
1.999624
In this paired two-sample t-test, we are comparing the mean scores of Group A's prior training and Group B's revised training. The mean score for Group A is 69.79032, while the mean score for Group B is 84.77419. The t-test statistic is -9.89922, with a degree of freedom of 61. The p-value is very small (1.31E-14 or 2.62E-14 for one-tailed or two-tailed tests respectively) indicating that there is strong evidence to reject the null hypothesis that the difference in means is zero. Therefore, we can conclude that Group B's revised training had a significant effect on the scores compared to Group A's prior training.
Dependent Samples (Paired Samples) t Test: Hypothesis Testing
t-Test: Two-Sample Assuming Unequal Variances
Pre-Exposure μg/dL
Post-Exposure μg/dL
Mean
32.85714
33.28571
Variance
150.4583
155.5
Observations
49
49
Hypothesized Mean Difference
0
df
96
t Stat
-0.17151
P(T<=t) one-tail
0.432092
t Critical one-tail
1.660881
P(T<=t) two-tail
0.864184
t Critical two-tail
1.984984
The t-Test: Two-Sample Assuming Unequal Variances test compares the means of two independent samples to determine if there is a statistically significant difference between them. In this case, the results show that we have two samples with 49 observations each. The mean pre-exposure level is 32.85714 μg/dL, and the mean post-exposure level is 33.28571 μg/dL. The variance for the pre-exposure sample is 150.45...
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