Scientists and engineers frequently wish to compare two different techniques for measuring or determining the value of a variable. In such situations, interest centers on testing whether the mean difference in measurements is zero. An article reports the accompanying data on amount of milk ingested by each of 14 randomly selected infants. Infant 1 2 3 4 5 6 7 8 9 DD method 1529 1418 1561 1556 2169 1740 1098 1198 1479 TW method 1498 1254 1346 1565 2000 1318 1410 1129 1342 Difference 31 164 215 -9 169 422 -312 69 137 10 11 12 13 14 1281 1414 1924 2174 2058 1144 1468 1604 1722 1528 137 -54 320 452 530 in USE SALT (a) Is it plausible that the population distribution of differences is normal? Yes. The normal probability plot is reasonably straight, so it's plausible that time differences follow a normal distribution and the paired t-interval is valid. No. The normal probability plot is reasonably straight, so it's not plausible that time differences follow a normal distribution and the paired t-interval is not valid. Yes. The normal probability plot is not reasonably straight, so it's plausible that time differences follow a normal distribution and the paired t-interval is valid. O No. The normal probability plot is not reasonably straight, so it's not plausible that time differences follow a normal distribution and the paired t-interval is not valid. (b) Does it appear that the true average difference between intake values measured by the two methods is something other than zero? Determine the P-value of the test, and use it to reach a conclusion at significance level 0.05. Calculate the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) P-value = ext. State the conclusion in the problem Reject H. The data suggests that the true average difference between intake values measured by the two methods is something other than zero. Reject H. The data does not suggest that the true average difference between intake values measured by the two methods is something other than zero. Fail to reject Ho. The data suggests that the true average difference between intake values measured by the two methods is something other than zero. Fail to reject H,. The data does not suggest that the true average difference between intake values measured by the two methods is something other than zero