Discussion:
1. The dependent and independent variables as they are not correct. Please advise.
2. Formulating the research question and developing the hypotheses
Equation: The random sample population is 500 people who shop for workout programs and equipment. The sample mean of those shopping is that they spend an average of $250.00 per purchase and perchance at least 2 to 3 items for working out and weight lost Assume that the population of consumers is normally distributed with mean M and the standard deviation is 50.
Clearly identify the independent and dependent variables you would study: The independent variable is the amount of money the shoppers spend on purchasing workout programs and equipment. The dependent variable is the test statistic, t.
Generate the statistical null and alternative hypotheses: H0: u equal to M vs. HA: u not equal to M
Describe what information the effect size would tell you that the probability value would not: In scientific experiments, it is often useful to know not only whether an experiment has a significant effect, but also the size of any observed effects. This information is not given by the probability value but by the effect size (Effect Size, 2007).
Using realistic numbers for values of degrees of freedom, sample size, and t statistic, report hypothetical results in a few sentences: If p-value is less than 0.05, the null hypothesis will be rejected, otherwise not. Having known M, first t is calculated as 250-M/2.236, and then the two-tailed p-value with 249 degrees of freedom is calculated. If it turns out to be less than 0.05, we can say that there exists significant evidence at 5% level of significance that the population mean of spending on workout programs and equipment is different from M.