Question: What is the statistic used developing the decision rule for each of the following problems. If the statistic used is the student t distribution you must indicate the sign or signs of the critical t value. For example, for 6f the statistic is the student t distribution with a positive sign. All that is needed for the answer is "statistic is the student t distribution (can just write t) with a positive sign". Anything else will lead to that section of the problem being graded as incorrect. To repeat, no calculations are necessary. All that is needed is just "statistic is a t, r,  ² or F and the sign(s) if it is a t".

1. SAT scores predict college grade point averages. Sample data: n = 25. Use the 99% confidence level.
2. Dr. Pepper Company claims that Dr. Pepper, Pepsi and Coca-Cola have the SAME carbonation level. Sample data: n = 20. Use the 95% confidence level.
3. The chairperson of NOW claims that being left-handed is INDEPENDENT of gender. Use the level of significance = 0.05.
4. When dropped from a standardized height, yellow baseballs have bounce heights DIFFERENT from the mean bounce heights of 92.84 inches obtain in previous studies with white baseballs. Sample data for the yellow baseballs: n = 40, mean = 92.67 inches, s = 1.79 inches. Use level of significance = 0.05. Does it appear that the yellow and white baseballs are different?
5. The mean life span of desktop PCs is LESS than 7 years. Sample data: n = 21, mean = 6.8 years, s = 2.4 years. Level of significance = 0.05.
6. The mean IQ score of statistics professors is GREATER than 120. Sample data: n = 12, mean = 132 and s = 12. Us 0.05 as the level of significance.

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