A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score.Let µ1, µ2, and µ3 be the MCAT scores for students who majored in biological sciences, social sciences, and math, respectively.Which of the following are the appropriate null and alternative hypotheses?H0: μ1 = μ2 = μ3Ha: μ1, μ2, μ3, are not all equalH0: μ1, μ2, μ3, are not all equalHa: μ1 = μ2 = μ3H0: μ1 = μ2 = μ3Ha: μ1 ≠ μ2 ≠ μ3H0: μ1 ≠ μ2 ≠ μ3Ha: μ1 = μ2 = μ3

A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score.The following hypotheses were tested:H0: μ1 = μ2 = μ3Ha: μ1, μ2, μ3, are not all equalThe analysis was run on the data and the following output was obtained:ANOVA TableSource DF SS MS F-Stat P-ValueTreatments 2 304.11487 152.05743 5.1196003 0.0071Error 147 4366.0523 29.701036 Total 149 4670.1672 Which of the following is an appropriate conclusion based on the output? Fail to reject H0 and conclude that the data provide strong evidence that the three mean MCAT scores (representing the three majors) are not all equal. Fail to reject H0 and conclude that the data do not provide sufficient evidence that there is a relationship between the student’s major and MCAT score. Reject H0 and conclude that the data provide strong evidence that there is a relationship between the student’s major and MCAT score. Reject H0 and conclude that the data provide strong evidence that MCAT scores are related to student majors in the following way: the mean MCAT score for math majors is higher than the mean MCAT score for biological sciences majors, which in turn is higher than that of social sciences majors.

A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score.Here are the three sample standard deviations for the MCAT scores for the three groups (biological sciences majors, social sciences majors, math majors):Column Std. HeadBiological Sciences 5.3115216Social Sciences 6.1661669Math 4.7821787Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA? Yes, because 6.17 − 4.78 < 2. Yes, because 6.17/4.78 < 2. No, because the standard deviations are not equal.

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 1: The National Assessment of Educational Progress (NAEP) is administered annually to 4th, 8th, and 12th graders in the United States. On the math assessment, a score above 275 is considered an indication that a student has the skills to balance a checkbook. In a random sample of 500 young men between the ages of 18 and 20, the mean NAEP math score is 272. Do we have evidence to support the claim that young men nationwide have a mean score below 275?

In which of the following cases should the null be rejected? (multiple ans)*1 pointThe test statistic is higher than the critical valueThe P value is lower than .05The test statistic is lower than the critical value.The P value is higher than the alpha.

Are you smarter than a second grader? A random sample of 70 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is =x55. Assume the standard deviation of test scores is =σ21. The nationwide average score on this test is 50. The school superintendent wants to know whether the second graders in her school district have greater math skills than the nationwide average. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.:H0  =μ50:H1  >μ50This hypothesis test is a ▼right-tailed test.Part 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=1.9Correct Answer:=z1.99Part: 2 / 52 of 5 Parts CompletePart 3 of 5(c) Compute the P-value of the test statistic. Round the answer to four decimal places.P-value=Skip PartCheckSave For LaterSubmit Assignment