8 lust be related in some way to at least one other member of the sample (as in a sibling, friend, orcoworker).O The standard deviation of the scores on the anxiety inventory is the samne for those who take the anti-anxiety drug and those who don't.Members of the sample are selected randomly.Use the Distributions tool to find the critical region for a = 0.05.Standard Normal DistributionMean = 0.0Standard Deviation = 1.0-500025002500-4-3-2-1-0.6740.674The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) areCalculate the z statistic, and use the Distributions tool to evaluate the null hypothesis. The z statistic isV. The z statisticliein the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is Avoid High-Tech TimmeCoursesA graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that itmay do nothing or even increase anxiety, so he decides to formulate nondirectional hypotheses and conduct a two-tailed test. He knows that theO Catalog and Study Toolsaverage score for all anxious people is uo = 25, with a standard deviation of o = 6. If he designates the mean for the population of anxious peoplewho take the anti-anxiety drug as Panti-anxiety drug, he can identify the null and alternative hypotheses as:E Rental Options- College Success TipsCherHo: Panti-anxiety drug = PoH1: Panti-anxiety drug + HoCareer Success TipsRECOMMENDED FOR YOUThe sample of 36 anxious people who tried out the new anti-anxiety drug scored an average of 23.3.Since the graduate student knows the standard deviation of the scores on the anxiety inventory for the population of people who are anxious, heWastingintends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, he wants to make sureall the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test?WastersO The scores on the anxiety inventory follow a normal distribution or the sample size is large (at least 30).O Each observation is independent of every other observation.e HelpO Each member of the sample must be related in some way to at least one other member of the sample (as in a sibling, friend, orQ Give Feedbackcoworker).O The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't.O Members of the sample are selected randomly.Use the Distributions tool to find the critical region for a = 0.05yerStandard Normal DistributionMean 00Standard Deviation 1.05000.25002500-4-3-2-134-0.6740.674

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Consider that μanti-anxiety drug is the mean for the population of anxious people, who take the…