1. Research question: Is the average age of a Penn State World Campus student different from 35 years? Data were collected from a random sample of 352 Penn State World Campus students. Each student's age, in years, was recorded in a spreadsheet. The distribution of ages was approximately normal. What statistical test should be conducted to address this research question? Single sample proportion z test Single sample mean t test Two independent proportions z test Two independent means t test 2. A researcher wants to compare the mean annual incomes of individuals who graduated from four different types of high schools: (1) public, (2) private non-parochial, (3) private parochial, and (4) magnet. They aren't sure if they should conduct multiple independent means t tests, each with a 0.05 alpha level, or if they should conduct a one-way analysis of variance (ANOVA) at the 0.05 alpha level, to determine if the means are not all equal. Which of the following is correct? They should perform multiple independent t-test in order to inflate the probability of making a Type ll error, thus making it a better test. They should perform multiple independent t-test in order to inflate the true alpha level across all of those tests, thus making it a better test. C They should perform a one-way ANOVA to reduce the likelihood of a Type II error. C They should perform a one-way ANOVA to avoid having an inflated alpha level. 3. Which of the following are assumptions that must be met in order to conduct a one-way ANOVA using the F distribution? Select all that apply. Sample means must be equal Samples must be independent Sample standard deviations should be similar: largestssmallestss2largestssmallestss2 Data must be paired