College Board SAI college entra exam consists of two sections: math and evidence-based reading and writing (EBKW). Sample data showing the math and EBRW scores for a sample of 12 students who took the SAT follow. Click on the datafile logo to reference the data. DATA file Student 1 2 3 4 5 6 v Math 540 432 528 574 448 502 Math test EBRW test Which test reports the higher mean score? - Select your answer - ✓ EBRW 474 380 463 612 420 526 What are the estimates of the population mean scores for the two tests? Student 7 8 9 10 11 12 Math 480 499 610 572 390 593 a. Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the EBRW scores. What is the test statistic? Enter negative values as negative numbers. Round your answer to two decimal places. t= What is the p-value? Round your answer to four decimal places. EBRW 430 What is your conclusion? I. Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II. Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II. Reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. IV. Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the SAT math test and the SAT writing test. II b. What is the point estimate of the difference between the mean scores for the two tests? 459 615 541 335 613

You may need to use the appropriate appendix table or technology to answer this question. According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 65 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.   (d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0:       Ha:       Find the value of the test statistic. (Round your answer to three decimal places.)   State the critical values for the rejection rule. Use  ? = 0.05.  (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)…

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A school board would like to determine whether there is a difference in average SAT scores for students at one high school versus another high school in the district. To check, they take a simple random sample of 100 students from each high school. A. Is the data paired?

what is the second quartile

A psychologist has designed an index to measure the social perspectives of elementary school children.  The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations.  The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57   For the data the mean index is 60.69 and the standard deviation is 8.26. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test:   b) H0:   c) HA:   d) Test Statistic:   e) Rejection region:   f) Decision in the context of the problem:

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…

Secretary of State Roxana Tillerson is worried about malpractice at the 4 processing centers for Green Cards in the country. Green Card applications are given a grade g on a scale 0-100. They are assigned randomly to different centers and thus Tillerson expects all centers to have similar mean scores. She collects the data in the table. #applications 9360 67.27 15.29 1 9870 66.74 14.64 7020 66.94 15.14 3 5040 67.02 14.84 4 rows x 3 columns At this point she just wants to decide whether or not to initiate a deeper investigation into malpractice at all sites. Does she have sufficient evidence for this, at 6% significance? SSTT number (rtol=0.01, atol=0.0001) SSE number (rtol=0.01, atol=0.0001) F. number (rtol=0.01, atol=0.0001) P-val number (rtol=0.01, atol=0.0001) O (a) No, she cannot make a conclusion O (b) Yes, she has enough evidence Select the key assumptions in the test you used. O (a) The populations are independent and therefore their covariances are zero. O (b) All sample sizes…

A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations.  The following are the indices measured on a random sample of 16 children attending elementary school in a particular district.   48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57   For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test:   b) H0:   c) HA:   d) Test Statistic:   e) Rejection region:   f) Decision in the context of the problem:

Explain the meaning of the specified term. Sample data