A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below.E Click the icon to view the data table.a. Perform a hypothesis test using a= 0.05 to determine if the average test score is higher for the students after the review course when compared with before the course. Let p, be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null andalternative hypotheses. Choose the correct answer below.O A. Ho: Ha = 0H,: Ha #0O B. Ho: Ha 20H,: Hg <0OC. Ho: Ha >0H,: Ha s0O D. Ho: Ha s0H,: Hg>0OF. Ho: Ha <0H,: Hg 20Test ScoresO E. Ho: Ha #0H,: H = 0StudentBeforeAfter2628b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.05.23251816The test statistic is(Round to two decimal places as needed.)4333551722The critical value(s) is(are)(Use a comma to separate answers as needed. Round to two decimal places as needed.)63429272482131Interpret the results of the hypothesis test.3032Since the test statisticV the critical value(s),V the null hypothesis. There isevidence that the mean score is higher after the review course.c. Identify the p-value and interpret the result.PrintDonep-value = (Round to three decimal places as needed.)Interpret the result.Since the p-valueV the significance level,the null hypothesis. There isevidence that the mean score is higher after the review course.d. What assumptions need to be made in order to perform this procedure?O A. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30.O B. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater.OC. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater.O D. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30.

Name: A standardized test has a scale that ranges from 3 to 45. A new type
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete par

The t-test is used to compare the means of two independent groups. But, if we want to…

Math

Statistics

A standardized test has a scale that ranges from 3 to 45. A new type of review course for the test was developed by a training company. The accompanying table shows the scores for nine students before and after taking the review course. Complete parts (a) through (d) below. E Click the icon to view the data table. a. Perform a hypothesis test using a= 0.05 to determine if the average test score is higher for the students after the review course when compared with before the course. Let u, be the population mean of matched-pair differences for the score before the course minus the score after the course. State the null and altenative hypotheses. Choose the correct answer below. O A. Ho: 0 H,: #0 OC. Ha: Ha>0 H, s0 OE. Ho: ka0 OB. Ha: Ha 20 H, c0 OD. Hg: H s0 H, >0 Test Scores OF. Ho: 0 H, g 20 Student Before 26 After 28 25 16 35 22 29 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a= 0.05. 2 3 23 18 The test statistic is (Round to two decimal places as needed.) 33 17 The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) 6 34 27 24 8 21 31 32 Interpret the results of the hypothesis test. 30 Since the test statistic V the critical value(s). the null hypothesis. There is V evidence that the mean score is higher after the review course. c. Identify the p-value and interpret the result. Print Done p-value = (Round to three decimal places as needed.) Interpret the result. Since the p-value | the significance level. " the null hypothesis. There is V evidence that the mean score is higher after the review course. d. What assumptions need to be made in order to perform this procedure? O A. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. OB. The samples are dependent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is 30 or greater. OC. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately normal if the number of matched pairs is 30 or greater OD. The samples are independent, and the distribution of the matched-pair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30