Please explain and analyze the following scenario about z-tests . Our textbook uses this scenario : "Example 8.1 :A common measure of intelligence is the intelligence quotient (IQ) test (Castles , 2012 ; Naglieri , 2015 ; Spinks et al., 2007 ) in which scores in the general healthy population are approximately normally distributed with 100 # 15 (H + ). Suppose we select a sample of 100 graduate students to identify if the IQ of those students is significantly different from that of the general healthy adult population . In this sample , we record a sample mean equal to 103 (M = 103 ). Compute the one -sample z test to decide whether to retain or reject the null hypothesis at a .05 level of significance (a = .05)." (Privitera 3rd Edition , page 250 , Example 8.1 ) We don't need SPSS to calculate the one -sample z-test , so it is useful to instead use an online z-test and probability calculator which shows you the normal curve and the z- score calculations Use one or both of the following online calculators to answer this question above from our text and post your answers as part of your reply . This will probably require a review of what the symbols mean https://mathcracker.com/z-test-for-one-mean http://www.statskingdom.com/110MeanNormal1.html After using one or both of the calculators , please post your results and provide the following : 1. What was the z-test statistic ? 2 . Was it significant and how do we know? 3. Using Cohen's d-test to judge the effect size , calculate the value of Cohen's d and interpret the outcome . Is the effect size small , medium , or large ? 4 . Extending your knowledge : our sample size of 100 is fairly large . At what smaller sample size does the difference between the population mean of 100 and the sample mean of 103 become NOT statistically significant ? Keep reducing the sample size in the calculator until you find out . Post that sample size here when you discover it. Explain how this does or does not change your thinking about the impact of sample size on significance testing . 5. Extending your knowledge : What is the difference between a z-score , and a z- test