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## 01 Nov Test if a sample of people are significantly diffe

Test if a sample of people are significantly different in height from national averages. Adult male heights have a population mean of μ=70 inches with a standard deviation of σ=4 inches. Adult females are on average a bit shorter and less variable in height with a mean of μ=65 inches and standard deviation of σ=3.5 inches. Use those parameters to check whether a sample of n=10 males or n=10 females significantly differ from the population average. You may choose any sample of people you like (i.e., family members, random strangers, NBA players, etc.).Use an alpha level of .05, with a two-tailed test (unless you have a specific reason to use a one-tailed test).List your null and alternative hypotheses.Run the hypothesis test.Indicate your critical value(s) of z from the unit normal tableIndicate your standard error and test statistic (Zcalc)State your conclusion based on the hypotheses from #1. 3. Calculate and interpret estimated Cohen’s d as a measure of effect size.Extra Credit (up to 5 points)Imagine a friend asked you to interpret these results for them. How would you explain what these results mean to someone who has never taken a statistics course, so that they can have a basic understanding of your findings? Write 2-3 sentences, minimum, describing how this hypothesis test was conducted, being sure to touch upon the concepts of normality and error.

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