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The amino acid lysine has important nutritional value in food for animals. Ordinary corn does not have much lysine in it.
The amino acid lysine has important nutritional value in food for animals. Ordinary corn does not have much lysine in it. Researchers developed a new variety of corn which did have higher lysine content. They wished to test whether the new "high-lysine" corn was a better feed for animals such as chickens.
An experimental group of a 20 randomly chosen one-day old chickens was fed the "highlysine" corn. A separate control group of another 20 randomly selected one-day old chickens was fed the "ordinary" corn. All other features such as amount of feed, time and frequency of feeding and environment were identical between the two groups.
The weight gained (in grams) by the chickens after 21 days on these diets was measured.
Control group 380 321 366 356 283 349 402 462 356 410 329 399 350 384 316 272 345 455 360 431
Experimental Group 361 447 401 375 434 403 393 426 406 318 467 407 427 420 477 392 430 339 410 326
a) Does this design use paired data or independent samples? Explain.
b) Compute a 90% confidence interval for the mean weight gain in ONLY the "highlysine" corn-feed chickens. Show all your working.
c) The researchers were striving (unofficially) to achieve a mean weight gain of 410g by using the high-lysine corn. Based on this confidence interval, explain if they have achieved this?
d) Conduct a test of significance (at a significance level of 5%) on the difference between the two corn types to decide whether there is a greater mean weight gain by "high-lysine" corn-feed chickens compared to the ordinary corn-feed. Follow all steps clearly and make a clear conclusion.
