Ergonomic keyboards may increase typing speed. Ten administrative assistants were chosen to type on both standard and ergonomic keyboards. The resulting word-per-minute typing speeds are shown below. Complete parts a and b. Ergonomic: 68 81 61 69 70 62 63 70 61 72 Standard: 69 66 54 58 57 64 60 52 65 55 a. Were the two samples obtained independently? O A. The same administrative assistant was used on both the ergonomic and standard keyboards; therefore the sampling was done dependently. The samples are matched pairs. O B. The samples are dependent because they were done on only two different keyboards. O C. The samples are independent. O D. There is insufficient information to determine if the samples are independent. b. Conduct a hypothesis test to determine if the ergonomic keyboards increase the average words per minute attained while typing. Use a p-value approach with a significance level of 0.01. Let Hd = My - H2, where u, is the ergonomic typing speed and 2 is standard typing speed. Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd # 0 OB. Ho: Hd 20 HA: Hd = 0 HA: Hd 0 Calculate the test statistic. t= (Round to two decimal places as needed.) Calculate the p-value