Using t Test and ANOVA With Sun Coast Remediation Data Set

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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...