Correctly answer all questions. Double check all workWhich of the following is not a measure of center?meanvariancemedianmode============Find the mean in the data set below.{2, 2, 4, 4, 4, 5, 5, 6, 7, 8}44.757.8---------------------If the mean of the data set shown below is 16, what is the value of x?{10, 12, x, 9, 18, 14, 20, 23, 25, 10}1916315.7=========For which data set is the mean, median, and mode the same?{5, 6, 4, 4, 4, 6, 5, 6}{11, 12, 15, 16, 13, 12, 12}{100, 101, 105, 110, 109, 104, 105, 108, 103}{4.3, 6.4, 2.9, 3.1, 8.7, 2.8, 3.6, 1.9, 7.2}==========What is the mean of the numbers represented by x + 1, 3x - 2, and 2x - 5?2x - 2(6x - 7)/3(x + 1)/3x + 4================Find the population variance for the data set. Round to the nearest tenth.{67, 91, 94, 89, 63, 67, 86, 67, 77, 95}12.1162.5146.279.6=========Find the population standard deviation of the data set. Round to the nearest tenth.{20, 15, 32, 38, 27, 16, 21, 20, 34, 30, 40, 24, 23, 11, 40}9.386.49.080.6=================A teacher is comparing test grades for a unit test in her Algebra class. The mean of the scores is 78% with a standard deviation of 3.8. What range gives the set of values that are within two standard deviations of the mean?74.2 - 81.870.4 - 85.674.2 - 85.670.4 - 81.8===============Below is a list of the weights of Defensive tackles on the Chicago Bears NFL football team. Which measure of center best describes the data set?{300 lbs, 296 lbs, 309 lbs, 295 lbs, 300 lbs, 288 lbs}meanmedianmodenone of the above================The following data shows the amount of money students paid for textbooks at a college bookstore during the spring semester. What is the range of values that are within 1 standard deviation of the mean. Round to the nearest tenth.{338, 160, 210, 180, 166, 272, 128, 409, 240, 250, 160, 300, 340, 200, 194, 132, 202, 180, 420, 380, 325, 185, 233, 198}241.8 - 328.4155.2 - 241.8155.2 - 328.4328.4 - 415

Please answer at least 5 out of 7 correctly on this multiple choice quizA common convention in social science is to set the alpha level at .05 and to reject the null hypothesis if the observed significance level is less than the alpha level, p < .05. Which of the following is correct?a.If p = .041, do not reject the null hypothesis b.If p = .074, reject the null hypothesis c.If p = .000, reject the null hypothesisd.If p = .952, reject the null hypothesis14.29 points QUESTION 2A Type I error is when you incorrectly reject the null hypothesis of no difference or no correlation in a population based on the results found in a sample. The alpha level controls the rate of Type I errors. If alpha is set at .05, which of the following is correct?a.The probability that there is no difference or no correlation in the population is 5%.b.The probability that there is a difference or correlation in the population is 5%. c.The probability of incorrectly rejecting the null hypothesis from the results of a sample, if the null hypothesis in the population is true, is 5%.d.The probability of correctly rejecting the null hypothesis from the results of a sample, if the null hypothesis in the population is true, is 5%.14.285 points QUESTION 3A confidence interval is a range of population values estimated from the results of a sample. From a random sample of 100 graduate students at Walden, suppose you calculate the average age to be 37 plus or minus 11, which would make the lower limit of the confidence interval 26 (i.e., 37 – 11 = 26) and the upper limit 48 (i.e., 37 + 11 = 48). If this was a 95% confidence interval, which of the following is correct?a.There is a 5% probability that the true average age of Walden graduate students is between 26 and 48b.95% of all Walden graduate students are between 26 and 48 years of agec.The true average age of Walden graduate students could be less than 26 or greater than 48d.A 99% confidence interval would be narrower, for example between 32 and 4214.285 points QUESTION 4A 95% confidence interval of -1.34 to 2.56 was estimated from the sample data on the mean difference between males and females on statistics anxiety. Which of the following is a true statement?a.The mean difference between males and females is statistically significantly different at the .05 alpha levelb.The mean difference between males and females is NOT statistically significantly different at the .05 alpha level  c.95% of all male and female scores on statistics anxiety were between -1.34 to 2.56d.The power of the study was 5%14.285 points QUESTION 5Incorrectly accepting the null hypothesis of no difference or no correlation in a population based on the results found in a sample is… a.a Type I errorb.a Type II errorc.a Type III errord.a Type IV error14.285 points QUESTION 6Scenario:A purposive sample of psychology graduate students finishing up their dissertation at one online university (n = 80), one public brick-and-mortar university (n = 35), and one private brick-and-mortar university (n = 20) rated overall satisfaction with their dissertation chair using a scale of 0 (completely dissatisfied) to 100 (completely satisfied). Each university had 100 students finishing up their dissertation.  The mean satisfaction ratings were: online = 87.5, public brick-and-mortar = 82.7, private brick-and-mortar = 90.3. The standard deviations were equal. Which of the following pairwise comparisons of mean ratings would have the largest effect size?a.Public versus privateb.Public versus onlinec.Online versus privated.The effect size of each pairwise comparison would be equal14.285 points QUESTION 7If an independent samples t test was conducted between any two of the three types of universities, which of the following would be most appropriate effect size?a.Multiple-R2b.Cohen’s wc.Cohen’s dd.Likelihood ratio