There is a new input technique for touch-screen devices that allows users to input a word by sliding a finger from letter to letter. The user's finger is only removed from the keyboard between words. The developers claim that typing speed using this new input technique is faster when compared with traditional touch-screen keyboards. The accompanying data table shows the typing speeds of 10 individuals who were measured typing using both methods. Complete parts (a) through (d) below. Click the icon to view the data table. a. Perform a hypothesis test using a = 0.10 to determine if the average typing speed using these two input methods is different. Let u. be the population mean of matched-pair differences for the typing speed of the new method minus the typing speed of the traditional method. Choose the correct answer below. OB. HO: Ha SO 1 Typing speeds of 10 individuals - X OA. HO: Hd # 0 H1 : Hd = 0 Hy: Ha >0 OC. Ho: Ha = 0 OD. HO: Ha 20 Hy : Ha # 0 Person 1 2 3 5 6 7 8 9 10 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.10. New method 48 51 42 35 54 41 38 33 55 47 Traditional 40 46 37 28 45 41 42 39 46 38 The test statistic is (Round to two decimal places as needed.) The critical value(s) is(are) | Print Done (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 to conclude that the average typing speed for the two input methods is different.c. Identify the p-value and interpret the result. p-value = (Round to three decimal places as needed.) Interpret the results of the hypothesis test using a = 0.10. Choose the correct answer below. O A. Do not reject the null hypothesis because the p-value is less than or equal to the given a = 0.10 level. O B. Reject the null hypothesis because the p-value is less than or equal to the given a = 0.10 level. O C. Do not reject the null hypothesis because the p-value is greater than the given a = 0.10 level. O D. Reject the null hypothesis because the p-value is greater than the given a = 0.10 level. d. What assumptions need to be made in order to perform this procedure? A. 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 B. 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. O C. 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 D. 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
