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dependent sample t test

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A nutritionist heard on the radio an amazing new diet drink that if taken at bedtime you will lose weight as you're sleeping. To top it off you can eat anything you want because the diet fuel will burn it off. She thought it was another one of those false claims that would rip-off dieters and wanted to prove them wrong.

She would get a group of 10 overweight people who just enrolled in her class and tell them to eat whatever they wanted but to drink the new diet drink that she would supply for the next two weeks. She would weigh them again at the end of the two weeks. She figured if the group weighed the same or significantly more than they did prior to the two week trial period, the product was a scam.

1. What is the hypothesis that the nutritionist is investigating?
2. What is the independent variable? What are the levels of the independent variables?
3. What is the dependent variable?
4. Which statistical test would the nutritionist use to test her hypothesis?
5. For each of the sets of output below, what can you tell about the dependent variable? What decision would the nutritionist make?

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Solution Summary

Step by step method for computing test statistic for dependent sample t test sample t test is given in the answer.

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Hypothesis, Independent & Dependent Variables for decision to send employees back to school for update of current tax law

Please see attached document for the three case outputs.

The president of a large accounting firm is required to send employees back to school each year to catch up on the latest changes to tax laws. Each employee is sent to a two-week school and then must pass a competency exam showing that they have learned what they need to know. The president, although realizing the need for ongoing education, has long complained that sending employees away for two weeks is unproductive. Finally, after years of suffering, he sets out to find a better way of educating the employees. He soon discovers that several institutions are offering online versions of the required courses and exclaims: "This is perfect! Now, my employees can work all day and then study online at night. It's the best of both worlds."

While describing his plan to the accounting managers, one of the senior accountants asks the president if the quality of the online schools is equal that of the traditional schools. "After all," she says, "how do we know what we're getting? Maybe we should investigate this a little further before we commit all of our accountants to this plan". The president sees the validity of her argument and comes up with a plan. "I know what we'll do. Let's randomly choose half of our accountants to take the courses online and the other half can go to the regular schools. Once they come back, we'll see how the two groups compare on the competency examination". The company immediately goes about setting their plan into action!

1. What is the hypothesis that the company is investigating? Before they commit all their accountants to enroll in an online tax school, the company wants to find out if the quality of education for an online school is equal to traditional schools.

2. What is the independent variable? What are the levels of the independent variables? The independent variable is the time the accountants spend on studying. Traditionally, if the accountants are away from work for two weeks they have more time studying for the exam versus the accountants who must work all day and then log on at home, spending only a few hours of study time.

3. What is the dependent variable? The dependent variable are the scores the accountants receive on the company's competency exam.

I'm having a little trouble with these last two questions.

4. Which statistical test would the company use to test their hypothesis?

5. For each of the sets of output below, what can you tell about the dependent variable? What decision would the president make?

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