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. a. Is it plausible that the population distribution of differences is normal?
b. Docs 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.
c. What happens if the two-sample t test is (incorrectly) used?

Infant
Method 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Isotopic 1509 1418 1516 1556 2169 1760 1098 1479 1281 1414 2089 1954 2174 2058
Test 1408 1254 1336 1565 2000 1318 1410 1129 1468 1604 1721 1518 1129 9021
Difference 11 64 225 -9 169 442 -312 69 137 157 -54 350 452 540