(Solved): Step 1: Calculate the z score for the distribution of sample means using the formula below (Hint: ...

Step 1: Calculate the z score for the distribution of sample means using the formula below (Hint: X is equivalent to the sample mean. Review chapter 8 for more information) (x-?) Zx O ?n What is the distribution of sample means z score? Step 2: Using Appendix B (unit normal table) and chapter 7 in your textbook, find the tail probability (percentage) for your z score. What is the Tail percentage for the distribution of sample means z score? Calculating a one-sample z-test You want to know whether taking a pill will increase the IQ score of individuals. You know the population mean for IQ is 100 and the population standard deviation is 10. You administered the pill to a group of 30 individuals and found the sample mean to be 120 and the sample's standard deviation to be 15. Using these data, complete a one-sample z-test to determine whether the participants who received the pill have significantly different IQ scores compared to the population. But first, let's practice with Z-scores. Calculate the z score for the sample using the following formula. (Hints: (1) Keep in mind X is equivalent to the sample mean. (2) Information about this formula in chapter 7) (x-?) Z ? What is the sample's z score? Using Appendix B (unit normal table) and chapter 7 in your textbook, find the tail probability (percentage) for your z score. What is Tail percentage for the sample's z score?