Data table X File Size (MB) Transfer Time (sec) Vendor Vendor Dummy File Size x Vendor Dummy 23 12.4 MS 23 23 9.2 NP 0 33 20.2 MS 33 33 22.7 NP 0 0 37 14.6 MS 37 37 26.2 NP 0 0 52 23.2 MS 52 52 29.6 NP 0 0 57 18.7 MS 57 57 22.5 NP 0 0 62 24.7 MS 62 62 30.6 NP 0 72 29.3 MS 72 72 38.2 NP 0 0 76 23.8 MS 76 76 40.2 NP 0 88 26.3 MS 88 88 35.9 NF 0 99 29.1 MS 99 99 42.2 NP 0 0A company ran tests of its current internal computer network to measure how rapidly data moved through the network given the current demand. Twenty files ranging in size from 20 to 100 megabytes (MB) were transmitted, and the time to send the files (in seconds) recorded. Two types of software ("MS" and "NP") were used to transfer the files, identified by the column labeled Vendor in the accompanying data table. Complete parts (a) through (e). Click the icon to view the data table. (a) Would it be appropriate for management to compare the two vendors based on a two-sample comparison of the times needed to transfer the files, or would such a comparison be confounded by different sizes of the files that were sent? O A. A two-sample comparison would not be appropriate. Since the file size is related to the transfer time, file size is a confounding variable. O B. A two-sample comparison would be appropriate. Since the mean file size and standard deviation are the same for each group (file sizes are paired in the two groups), file size cannot be a confounding variable. O C. A two-sample comparison may not be appropriate. Since the mean file size and standard deviation differ for the two groups, file size may be a confounding variable. (b) Perform the two-sample t-test to compare the performance of the software provided by the two vendors for a = 0.05. Summarize this analysis, assuming that there are no lurking variables. Find the sample statistic, X, - X2. Let sample 1 correspond to the NP vendor and sample 2 correspond to the MS vendor. *1 - X2 = (Round to two decimal places as needed.) Determine the two-sample t-statistic. t= (Round to three decimal places as needed.) Identify the p-value. p-value = (Round to four decimal places as needed.) Determine the conclusion for this test. The p-value is a, so the null hypothesis. There is evidence to conclude that there is a difference in the transfer rates for the two vendors.(c) Compare the transfer times of the two types of files using an analysis of covariance. Summarize the comparison of transfer times based on this analysis. Use a dummy variable coded as 1 when Vendor = "MS." Use a = 0.05. (Assume for the moment that the model meets the conditions for the MRM.) The interaction in the model statistically significant, meaning that the two types of software different rates of transfer. The transfer times using the MS software those obtained by the NP software. (d) Compare the results from parts (b) and (c). Do they agree? You should take into account the precision of the estimates and your answer to part (a). O A. Part (b) indicates that there is sufficient evidence that there is a difference in the transfer rates, while part (c) indicates that the two types of software do not have different rates of transfer. Therefore, the results agree. O B. Part (b) indicates that there is insufficient evidence that there is a difference in the transfer rates, while part (c) indicates that the two types of software have different rates of transfer. Therefore, the results do not agree. O C. Part (b) indicates that there is insufficient evidence that there is a difference in the transfer rates, while part (c) indicates that the two types of software do not have different rates of transfer. Therefore, the results do not agree. (e) Does the estimated multiple regression used in the analysis of covariance meet the similar variances condition? O A. No; the residuals for NP vary more than the residuals for MS. O B. Yes; there is insufficient evidence that the variances for the two groups are different. O C. No; the residuals for MS vary more than the residuals for NP