A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. She knows that the average score for all depressed people Is po = 25, with a standard deviation of a = 6. If she designates the mean for the population of depressed people who take the antidepressant aN Partdeprussante she can identify the null and alternative hypotheses as: Hot Panupressnt Po Ha Hentidnprennant * 10 The sample of 36 depressad people who tried out the new antideoressant scored an average of 23.3. Since the graduate student knows the standard devlation of the scores on the dearession inventory for the population of people who are depressed, she intends to use a hypothesis test that uses the z-score of the sample mean es the test statistic (also knawn as the z test). First, she wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test? O Each observation is independent of every other observation. O The sampling distribution of M foilows a normal distribution. O Members of the samiple are selected randomly. The mean of the scores on the deprassion inventory is the same for those who take the antidepressant and those who don't. O The standard deviation of the scores on the depression inventory, is the same for those who take the antidepressant and those who don't. Use the Distributions tool to firid the critical region for o 05. Use the Distributions tool to find the critical region for a = ,05. Standard Normel Distribution Mean- 0.0 Standard Deviation1.0 5000 1500 a500 0.674 8.574 The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) are 12.326 Calculate the z statistic, and use the Distributions tool to evaluate the null hypothesis, The z statistic is-245 The z statistic does not lie in the critical region for a two-tailed hypothesis test. Therefore, the nul hypothesis is not rejected does does not

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts.     Diet Regular   μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. i) What are the null alternative hypothesis?   ii) What's the test statics?   iii) What's the P-value?   iv) State the conclusion   vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean   vii) Does the confidence interval…

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with µ = 524. The teacher obtains a random sample of 2000 students, puts them through the review class, and finds that the mean math score of the 2000 students is 532 with a standard deviation of 117. Complete parts (a) through (d) below. Find the P-value. The P-value is (Round to three decimal places as needed.) Check answer Clear all Help me solve this View an example Get more help. At a # Type here to search U (?) 4:40 PM 6/18/2022 B 8 96°F Sunny

Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10significance level to test for a difference between the measurements from the two arms. What can be​ concluded?   Right arm 146 137 140 132 132   Left-arm 183 172 179 156 149   In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test?   Identify the test statistic.   Identify the​ P-value.