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Business Statistics Project

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Business Statistics Project
BUSINESS STATISTICS

Agenda
Introduction
Descriptive Statistics
One–Tailed Test About a Population Mean t-Test Using Two Independent Samples t-Test For Paired Samples
Analysis of Variance (ANOVA)
Regression Analysis

U.S. Patent and Trademark Office (PT0)

Descriptive Statistics

Frequency Vs Total Provisional Filings

One–Tailed Test About a Population Mean
Selected a small sample of 12 months’ provisional application filings for large US entities (for fiscal year 1996)

1. Determine the Hypotheses
H0: µ ≤ 600
Ha: µ > 600
2. Specify the level of significance α = 0.05
3. Compute the value of the test statistic
4. Compute the p-value
5. Determine whether to reject H0

The P-value of the hypothesis test, equals 0.68. Since this is greater than the specified significance level α = 0.05, the null hypothesis can not be rejected.

Conclusion : The data does not provide sufficient evidence to conclude that the mean filings of provisional applications by large U.S. entities is greater than 600.

t-Test Using Two Independent Samples
Let µ1 denote the mean provisional applications filed by US large entities in 1996, and µ2 denote the mean provisional applications filed by US large entities in 1997.
1. Determine the Hypotheses
H0: µ1 = µ2
Ha: µ1 < µ2
2. Specify the level of significance α = 0.05
3. Compute the value of the test statistic
4. Compute the p-value
5. Determine whether to reject H0

The P-value of the hypothesis test, equals 0.18. Since this is greater than the specified significance level α = 0.05, the null hypothesis can not be rejected.

Conclusion : The data does not provide sufficient evidence to conclude that the mean filings of provisional applications by large U.S. entities in 1997 were greater than mean of provisional filings in 1996.

t-Test For Paired Samples
Selected a sample of 10 patent examiners and measured their productivity before training, and six months after training.

1. Determine the Hypotheses
H0: µ1 = µ2
Ha: µ1 > µ2
2. Specify the
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