Pick the test: (z test, correlation, independent sample t test, single sample t test, ANOVA, paired sample t test, or dependent sample t test) ONLY PICK TEST DON'T CALCULATE! 1. A new program of imagery training is used to improve the performance of basketball players shooting free-throw shots. The first group did an hour imagery practice, and then shot 30 free throw basket shots with the number of shots made recorded. A second group received no special practice, and also shot 30 free throw basket shots. Did the imagery training make a difference?
2. Dr. Miller is interested in whether students in her summer statistics class differ in performance from students that take the statistics course class during the fall semester. If she matches her students with a student in the fall course on GPA and Gender and then compares the end of semester grade, what is the appropriate statistical analysis to determine whether there is a difference?
3. The principal of an elementary school wanted to see if there are differences in the abilities of first, second, and third graders to render a three-dimensional image into a two-dimensional drawing (as judged by trained coders). All students were attending the same school, and data were collected during the same semester.
4. A psychological researchers assigns 10 pairs of diabetics to one of two groups. Each member of the pair is either assigned to yoga group or a transcendental meditation group. They are matched according to their hemoglobin A1C values. After 6 months, their hemoglobin A1C values were measured again.
5. Does alcohol cause low birth weight? It is known that the average birth weight of white rats is μ=20 grams with a standard deviation of σ=4 grams. We have 50 rats available for an experiment in which the pregnant females were given daily doses of alcohol. The average birth weight was found to be 18 grams. Is there a difference