# Using Statistics to Analyze a Scenario

Not what you're looking for?

Scenario: You are interested in researching a new ambulance dispatching method. The new method is supposed to be more efficient and uses half the communications personnel of the old method, saving over $300,000 annually. You want to know how the new method compares to the old method in terms of how many minutes it takes ambulances to get to dispatched calls, since you are not willing to switch if the new method increases the dispatch time significantly. For the research study, calls are randomly assigned to one dispatch method or the other. The Old and the New methods are then to be compared. Your level of significance is set at p=.05. You measure the dispatch time on the next 500 calls. At the completion of the study, you obtain the following results for the comparison of the two methods.

Results:

- The p value you obtain is p = .061.

- Mean dispatch time "Old" method=2.5 minutes.

- Mean dispatch time "New" method=2.8 minutes.

- Mean difference .3 minutes.

- 95% CI of difference -.5 to + 1.1 minutes.

Complete the following exercises based on this scenario. Use only 1-2 sentences to answer each question!

1. Write a potential null hypothesis for the study.

2. Write a potential non-directional alternative hypothesis for the study.

3. Write a potential directional alternative hypothesis for the study.

4. Do the two dispatch methods differ significantly? How do you know?

5. Based on your result in #4, which dispatch method should you use? Why?

6. If the true situation is that the two methods do not differ significantly (null is true) and your research shows that the "Old" method is significantly faster, (reject null), what type of error have you made? What are the potential consequences in this case?

7. If the true situation is that the "Old" method is significantly faster (null is false) and your research shows that the two methods do not differ significantly (accept null), what type of error have you made? What are the potential consequences in this case?

##### Purchase this Solution

##### Solution Preview

1. Null Hypothesis: The mean dispatch time for the new method is equal to that of the old method.

2. Alternative Hypothesis: The mean dispatch time for the new method is not equal to that of the old method.

3. Alternative ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.