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Question.4711 - This is our discussion board for the Unit 3b z-test calculation Practice Assignment. Please use this discussion board to 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 ( µ ± σ). 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 (α = .05)." 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. Note that instructions will not be provided for how to use these calculators because it is now time to start using your new knowledge of statistics to figuring out what these calculators are asking for. This will probably require a review of what the symbols mean.https://mathcracker.com/z-test-for-one-mean HYPERLINK "http://www.statskingdom.com/110MeanNormal1.html" \t "_blank" \o "http://www.statskingdom.com/110MeanNormal1.html" http://www.statskingdom.com/110MeanNormal1.htmlAfter using one or both of the calculators, please post your results and provide the following:What was the z-test statistic?Was it significant and how do we know?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?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.Extending your knowledge: What is the difference between a z-score, and a z-test?This discussion is worth 10 points. The main post should be about 300 words and replies to classmates should be at least 100 words. Please post at least 1 reply to classmates. Help each other out as much as possible.

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I xxxx http xxx statskingdom xxx MeanNormal xxxx calculator xxxxx entering xxx values xxxxxx average xxxxxxxx population xxxx Sample xxxx population xx and xxxxxxx the xxxxx as xxx tailed xxxx and xxxxx I xxxxxxxxxx the xxxx The xxxxx of xxx z xxxxxxxxx is xxx result xxx significant xx can xxxx this xx looking xx the x value xx the xx value xxxxxxxxxx is xxxx than xxx significance xxxxx we xxxxxx the xxxx hypothesis xxx conclude xxxx sample xxxx IQ xx is xxxxxxxxxxxxx different xxxx the xxxxxxx population xxxx of xx the xxxxx of xxxxxxxxxxxx The x value xx got xxxx the xxxxxxxxxxx is xx is xxxx than xxxxxxxxx we xxxxxx the xxxx hypothesis xxx value xx Cohen x d xx It xx calculated xx It xx small xxxxxx size xxx indicates xxxx the xxxxxxxxxx between xxx sample xxxx and xxx population xxxx is xxxxxxxxxxxxx significant xxx is xxxxxxxxxx small xxx sample xxxx of xxxxx is xxxxxxx than xxx shown xxxx the xxxx hypothesis xxx be xxxxxxxx This xxx be xxxx through xxx p xxxxx we xxx The xx value xxxx is xxxxxxx than xxx alpha xxxxx If xxx p xxxxx is xxxxxxx than xxx alpha xxxxx we xxxx to xxxxxx the xxxx hypothesis xxxxxx sample xxxx increases xxx power xx a xxxx making xx more xxxxxx to xxxxxx a xxxxxxxxxxx significant xxxxxx and xxxxxxx sample xxxx decreases xxx power xxx reduces xxx likelihood xx rejecting xxx null xxxxxxxxxx Z- xxxxx is xxxx for xxxxxxxxxx data xxxxxx or xxxxx sample xxxx It xxxxxxxx how xxx a xxxx point xx from xxx mean xxxxxxxx to xxx standard xxxxxxxxx Z xxxx is x statistical xxxx used xx determine xxx significant xxxxxxxxxx between x sample xxxx and x population xxxx Referenceshttps xxx statskingdom xxx MeanNormal xxxx Z-score xxxxxxxxxxx Z-test xxxxxxxxxxxxxx October xxxx M xxxxx s xxxx https xxxxxxxxxx com xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

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