Have a few question that I need help to answer. Each question will need a Reference attached or the answer will be denied.

Q1. A market researcher is interested in knowing the type of training that works best for DVD users. Thirty consumers are randomly selected from a population of known DVD owners (i.e., users). Ten users are trained by giving them the DVD user's manual and allowing them to read it. Another 10 users are trained from a 30-minute DVD user training video. Another 10 users are trained from a self-paced computer tutorial. The users are then timed in their ability to setup and program the DVD by performing a series of operations. Which statistical analysis technique should be used? What is the null hypothesis? Can the market researcher get an answer? Why or why not?

For this question I am providing my original answer below. There was a follow-up answer that's needing to be answered. This will be marked as Q2 and Q3. Will need a reference to this question.

Original Answer: A treatment is a specific combination of some study factor levels where effect from different combinations is then compared (Girden, 2012, p.243). This means that a group of measurements are categorized into different groups forming different treatments. For example, in a business perspective, different packing styles can be termed as a treatment when one wishes to investigate which package attracts more customers.

Q2. How would you write your business packaging example into a testable hypothesis both in English version and mathematically, i.e. Ho and Ha with appropriate population parameter using ANOVA? If you have rejected your Ho then how would you determine which participant group differs significantly?

Q3. I like your example of the business perspective to determine what packing style attracts more customers. You could test this in many different ways. You could see if customers like a flashy packing, a green packing, or a more traditional packing. By using statistics, you could market to the population that has the highest demand for a product. Do you think that this would be a good example to do an ANOVA test or another type of test that we learned about during this class?

For this question I am providing my original answer below. There was a follow-up answer that's needing to be answered. This will be marked as Q4. Will need a reference to this question.

Original Answer: There are 3 tests which commonly apply the chi-square distribution. These are; the chi-square tests for goodness of fit test for independence and analysis of variance by ranks (Ross, 2014, p.155). The chi-square goodness of fit test is applied when a researcher has one categorical variable from a single population. The test is used to determine whether the data obtained from the sample are consistent with a hypothesized distribution. Chi-square test of independence is applied when the researcher has two categorical variables obtained from a single population. The test is used to investigate whether there is an association between the variables. The Friedmans two-way analysis of variance by ranks has two applications which appear very differently but are really just two forms of variations of the same statistical question. One application is that it is a measure used for two or more times from the same sample while the other application is involves the two or more comparable quantitative variables from the same sample, usually at the same time.

Q4. How would you write an example of chi-square test into a testable hypothesis, i.e. Ho and Ha, either for test of independence or goodness-of-fit test? What would be your test statistic to use for testing purposes?