RMRP#7

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Data Analysis: Hypothesis Testing

Data Analysis: Hypothesis Testing

Independent Samples t-Test: Hypothesis Testing

Ho4: The new employee training program is inadequate compared to the prior training program.

Ha4: The new employee training program is effective compared to the prior training program.

t-Test: Paired Two Sample for Means
	Variable 1	Variable 2
Mean	69.79032258	84.77419
Variance	122.004495	26.96457
Observations	62	62
Pearson Correlation	0.060325473
Hypothesized Mean Difference	0
df	61
t Stat	-9.899218434
P(T<=t) one-tail	1.31149E-14
t Critical one-tail	1.670219484
P(T<=t) two-tail	2.62299E-14
t Critical two-tail	1.999623585

The results show a p-value of 2.62299E-14, which is less than 0.5, and this means that the null hypotheses should be rejected; there is statistical significance between the variables. This shows that the new employee training program is more effective when compared to previous programs used.

Dependent Samples (Paired Samples) t-Test: Hypothesis Testing

Ho5: There is no significant relationship between lead exposure and the lead levels in the blood for the employees.

Ha5: There is a significant relationship between lead exposure and the lead levels in the blood for the employees.

t-Test: Paired Two Sample for Means
	1	6
Mean	25.5	33.41667
Variance	196	137.9929
Observations	48	48
Pearson Correlation	0.983498243
Hypothesized Mean Difference	0
df	47
t Stat	-16.9236878
P(T<=t) one-tail	6.28591E-22
t Critical one-tail	1.677926722
P(T<=t) two-tail	1.25718E-21
t Critical two-tail	2.011740514

The p-value is 1.25718E-21, and this is less than the alpha 0.05. This p-value shows that the null hypothesis should be rejected, which means a significant relationship between lead exposure and the lead levels of blood in the employees in Sun Coast.

ANOVA: Hypothesis Testing

Ho6: There is no significant difference between the ROI of the different lines.

Ha6: There is a significant difference between the ROI of the different lines of service

ANOVA: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	20	178	8.9	9.357895
Column 2	20	182	9.1	3.042105
Column 3	20	140	7	6.631579
Column 4	20	108	5.4	1.410526
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	182.8	3	60.93333	11.9231	1.76E-06	2.724944
Within Groups	388.4	76	5.110526
Total	571.2	79

The results from the ANOVA show that there is a significant difference between the different lines of service.

References

George, D., & Mallery, P. (2018). Descriptive statistics. In IBM SPSS Statistics 25 Step by

Step (pp. 126-134). Routledge.

Gupta, S. C., & Kapoor, V. K. (2020). Fundamentals of mathematical statistics. Sultan Chand &

Sons.