Astandardizecl 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 {cl} below. g Click the icon to view the data table. :1. Perform a hypothesis test using :1: [1.05 to determine if the average test score is higher for the students after the review course when compared with before the course. Let pc be the population mean of matchedpair differences for the score before the course minus the score after the course. State the null and alternative hypotheses. Choose the correct a nswer below. [:1 A. Hozpddl [J B. Hzpde HUME\" H1Zpd [:1 E. H01pd2> [:1 F. H:|_|d= H1I|JdSU H1Z|Jd950 b. Calculate the appropn'ate test statistic and interpret the results of the hypothesis test using c: = 0.05. The test statistic is |:. (Round to two decimal places as needed.) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) Interpret the results of the hypothesis test. Since the test statistic the critical value(s), the null hypothesis. There is evidence that the mean score is higher after the review course. c. Identify the p-value and interpret the result. p-value = (Round to three decimal places as needed.) Interpret the result. Since the p-value the significance level, the null hypothesis. There is evidence that the mean score is higher after the review course.d. 'WhElt assumptions need to be made in order to perform this procedure? [:1 A. The samples are dependent= and the distribution of the matchedpair differences between the measurements for the population is approximately normal if the number of matched pairs is less than 30. [:1 B. The samples are independent: and the distribution of the matchedpair differences between the measurements for the population is approximately uniform if the number of matched pairs is less than 30. [:1 C. The samples are independent: and the distribution of the matched-pair differences between the measurements for the population is approximately normal ifthe number of matched pairs is 30 or greater. [:1 D. The samples are dependent: and the distribution of the matchedpair differences between the measurements for the population is approximately uniform ifthe number of matched pairs is 30 or greater. \f